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Finding the Third Proportional to 29,148.61 and 42,133.92

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Solution

The third proportional to 29,148.61 and 42,133.92 is: 60,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,148.61 : 42,133.92 = 42,133.92 : x
  2. Step 2: Convert to fraction form
    29,148.61/42,133.92 = 42,133.92/x
  3. Step 3: Cross multiply
    29,148.61x = 42,133.92 × 42,133.92
  4. Step 4: Simplify right side
    29,148.61x = 1,775,267,372.57
  5. Step 5: Solve for x
    x = 1,775,267,372.57/29,148.61
  6. Step 6: Final answer
    x = 60,904.02

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.