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Finding the Third Proportional to 17,842.78 and 38,669.91

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Solution

The third proportional to 17,842.78 and 38,669.91 is: 83,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.78 : 38,669.91 = 38,669.91 : x
  2. Step 2: Convert to fraction form
    17,842.78/38,669.91 = 38,669.91/x
  3. Step 3: Cross multiply
    17,842.78x = 38,669.91 × 38,669.91
  4. Step 4: Simplify right side
    17,842.78x = 1,495,361,649.38
  5. Step 5: Solve for x
    x = 1,495,361,649.38/17,842.78
  6. Step 6: Final answer
    x = 83,807.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.