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Finding the Third Proportional to 32,276.81 and 47,131.88

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Solution

The third proportional to 32,276.81 and 47,131.88 is: 68,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,276.81 : 47,131.88 = 47,131.88 : x
  2. Step 2: Convert to fraction form
    32,276.81/47,131.88 = 47,131.88/x
  3. Step 3: Cross multiply
    32,276.81x = 47,131.88 × 47,131.88
  4. Step 4: Simplify right side
    32,276.81x = 2,221,413,641.02
  5. Step 5: Solve for x
    x = 2,221,413,641.02/32,276.81
  6. Step 6: Final answer
    x = 68,823.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.