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Finding the Third Proportional to 22,514.63 and 30,206.25

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Solution

The third proportional to 22,514.63 and 30,206.25 is: 40,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.63 : 30,206.25 = 30,206.25 : x
  2. Step 2: Convert to fraction form
    22,514.63/30,206.25 = 30,206.25/x
  3. Step 3: Cross multiply
    22,514.63x = 30,206.25 × 30,206.25
  4. Step 4: Simplify right side
    22,514.63x = 912,417,539.06
  5. Step 5: Solve for x
    x = 912,417,539.06/22,514.63
  6. Step 6: Final answer
    x = 40,525.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.