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Finding the Third Proportional to 29,008.13 and 39,178.69

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Solution

The third proportional to 29,008.13 and 39,178.69 is: 52,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,008.13 : 39,178.69 = 39,178.69 : x
  2. Step 2: Convert to fraction form
    29,008.13/39,178.69 = 39,178.69/x
  3. Step 3: Cross multiply
    29,008.13x = 39,178.69 × 39,178.69
  4. Step 4: Simplify right side
    29,008.13x = 1,534,969,554.22
  5. Step 5: Solve for x
    x = 1,534,969,554.22/29,008.13
  6. Step 6: Final answer
    x = 52,915.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.