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Finding the Third Proportional to 10,221.19 and 15,316.59

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Solution

The third proportional to 10,221.19 and 15,316.59 is: 22,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.19 : 15,316.59 = 15,316.59 : x
  2. Step 2: Convert to fraction form
    10,221.19/15,316.59 = 15,316.59/x
  3. Step 3: Cross multiply
    10,221.19x = 15,316.59 × 15,316.59
  4. Step 4: Simplify right side
    10,221.19x = 234,598,044.10
  5. Step 5: Solve for x
    x = 234,598,044.10/10,221.19
  6. Step 6: Final answer
    x = 22,952.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.