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Finding the Third Proportional to 22,511.44 and 48,514.13

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Solution

The third proportional to 22,511.44 and 48,514.13 is: 104,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.44 : 48,514.13 = 48,514.13 : x
  2. Step 2: Convert to fraction form
    22,511.44/48,514.13 = 48,514.13/x
  3. Step 3: Cross multiply
    22,511.44x = 48,514.13 × 48,514.13
  4. Step 4: Simplify right side
    22,511.44x = 2,353,620,324.52
  5. Step 5: Solve for x
    x = 2,353,620,324.52/22,511.44
  6. Step 6: Final answer
    x = 104,552.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.