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Finding the Third Proportional to 29,575.13 and 38,692.69

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Solution

The third proportional to 29,575.13 and 38,692.69 is: 50,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.13 : 38,692.69 = 38,692.69 : x
  2. Step 2: Convert to fraction form
    29,575.13/38,692.69 = 38,692.69/x
  3. Step 3: Cross multiply
    29,575.13x = 38,692.69 × 38,692.69
  4. Step 4: Simplify right side
    29,575.13x = 1,497,124,065.97
  5. Step 5: Solve for x
    x = 1,497,124,065.97/29,575.13
  6. Step 6: Final answer
    x = 50,621.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.