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Finding the Third Proportional to 32,131 and 48,007.50

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Solution

The third proportional to 32,131 and 48,007.50 is: 71,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131 : 48,007.50 = 48,007.50 : x
  2. Step 2: Convert to fraction form
    32,131/48,007.50 = 48,007.50/x
  3. Step 3: Cross multiply
    32,131x = 48,007.50 × 48,007.50
  4. Step 4: Simplify right side
    32,131x = 2,304,720,056.25
  5. Step 5: Solve for x
    x = 2,304,720,056.25/32,131
  6. Step 6: Final answer
    x = 71,728.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.