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Finding the Third Proportional to 29,575.13 and 41,527.69

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Solution

The third proportional to 29,575.13 and 41,527.69 is: 58,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,575.13 : 41,527.69 = 41,527.69 : x
  2. Step 2: Convert to fraction form
    29,575.13/41,527.69 = 41,527.69/x
  3. Step 3: Cross multiply
    29,575.13x = 41,527.69 × 41,527.69
  4. Step 4: Simplify right side
    29,575.13x = 1,724,548,829.10
  5. Step 5: Solve for x
    x = 1,724,548,829.10/29,575.13
  6. Step 6: Final answer
    x = 58,310.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.