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Finding the Third Proportional to 15,780.38 and 34,021.13

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Solution

The third proportional to 15,780.38 and 34,021.13 is: 73,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.38 : 34,021.13 = 34,021.13 : x
  2. Step 2: Convert to fraction form
    15,780.38/34,021.13 = 34,021.13/x
  3. Step 3: Cross multiply
    15,780.38x = 34,021.13 × 34,021.13
  4. Step 4: Simplify right side
    15,780.38x = 1,157,436,946.27
  5. Step 5: Solve for x
    x = 1,157,436,946.27/15,780.38
  6. Step 6: Final answer
    x = 73,346.61

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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.