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Finding the Third Proportional to 42,474.94 and 67,478.91

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Solution

The third proportional to 42,474.94 and 67,478.91 is: 107,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,474.94 : 67,478.91 = 67,478.91 : x
  2. Step 2: Convert to fraction form
    42,474.94/67,478.91 = 67,478.91/x
  3. Step 3: Cross multiply
    42,474.94x = 67,478.91 × 67,478.91
  4. Step 4: Simplify right side
    42,474.94x = 4,553,402,788.70
  5. Step 5: Solve for x
    x = 4,553,402,788.70/42,474.94
  6. Step 6: Final answer
    x = 107,202.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.