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Finding the Third Proportional to 42,941.71 and 63,129.69

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Solution

The third proportional to 42,941.71 and 63,129.69 is: 92,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,941.71 : 63,129.69 = 63,129.69 : x
  2. Step 2: Convert to fraction form
    42,941.71/63,129.69 = 63,129.69/x
  3. Step 3: Cross multiply
    42,941.71x = 63,129.69 × 63,129.69
  4. Step 4: Simplify right side
    42,941.71x = 3,985,357,937.05
  5. Step 5: Solve for x
    x = 3,985,357,937.05/42,941.71
  6. Step 6: Final answer
    x = 92,808.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.