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Finding the Third Proportional to 31,439.81 and 47,565.56

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Solution

The third proportional to 31,439.81 and 47,565.56 is: 71,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439.81 : 47,565.56 = 47,565.56 : x
  2. Step 2: Convert to fraction form
    31,439.81/47,565.56 = 47,565.56/x
  3. Step 3: Cross multiply
    31,439.81x = 47,565.56 × 47,565.56
  4. Step 4: Simplify right side
    31,439.81x = 2,262,482,735.94
  5. Step 5: Solve for x
    x = 2,262,482,735.94/31,439.81
  6. Step 6: Final answer
    x = 71,962.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.