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Finding the Third Proportional to 39,024.28 and 43,124.91

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Solution

The third proportional to 39,024.28 and 43,124.91 is: 47,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024.28 : 43,124.91 = 43,124.91 : x
  2. Step 2: Convert to fraction form
    39,024.28/43,124.91 = 43,124.91/x
  3. Step 3: Cross multiply
    39,024.28x = 43,124.91 × 43,124.91
  4. Step 4: Simplify right side
    39,024.28x = 1,859,757,539.07
  5. Step 5: Solve for x
    x = 1,859,757,539.07/39,024.28
  6. Step 6: Final answer
    x = 47,656.42

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.