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Finding the Third Proportional to 31,439.39 and 47,565.35

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Solution

The third proportional to 31,439.39 and 47,565.35 is: 71,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439.39 : 47,565.35 = 47,565.35 : x
  2. Step 2: Convert to fraction form
    31,439.39/47,565.35 = 47,565.35/x
  3. Step 3: Cross multiply
    31,439.39x = 47,565.35 × 47,565.35
  4. Step 4: Simplify right side
    31,439.39x = 2,262,462,669.26
  5. Step 5: Solve for x
    x = 2,262,462,669.26/31,439.39
  6. Step 6: Final answer
    x = 71,962.68

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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.