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Finding the Third Proportional to 19,230.19 and 41,535.84

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Solution

The third proportional to 19,230.19 and 41,535.84 is: 89,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,230.19 : 41,535.84 = 41,535.84 : x
  2. Step 2: Convert to fraction form
    19,230.19/41,535.84 = 41,535.84/x
  3. Step 3: Cross multiply
    19,230.19x = 41,535.84 × 41,535.84
  4. Step 4: Simplify right side
    19,230.19x = 1,725,226,316.02
  5. Step 5: Solve for x
    x = 1,725,226,316.02/19,230.19
  6. Step 6: Final answer
    x = 89,714.48

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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.