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Finding the Third Proportional to 39,127.64 and 58,699.69

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Solution

The third proportional to 39,127.64 and 58,699.69 is: 88,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,127.64 : 58,699.69 = 58,699.69 : x
  2. Step 2: Convert to fraction form
    39,127.64/58,699.69 = 58,699.69/x
  3. Step 3: Cross multiply
    39,127.64x = 58,699.69 × 58,699.69
  4. Step 4: Simplify right side
    39,127.64x = 3,445,653,312.60
  5. Step 5: Solve for x
    x = 3,445,653,312.60/39,127.64
  6. Step 6: Final answer
    x = 88,061.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.