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Finding the Third Proportional to 32,737.50 and 71,472.50

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Solution

The third proportional to 32,737.50 and 71,472.50 is: 156,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,737.50 : 71,472.50 = 71,472.50 : x
  2. Step 2: Convert to fraction form
    32,737.50/71,472.50 = 71,472.50/x
  3. Step 3: Cross multiply
    32,737.50x = 71,472.50 × 71,472.50
  4. Step 4: Simplify right side
    32,737.50x = 5,108,318,256.25
  5. Step 5: Solve for x
    x = 5,108,318,256.25/32,737.50
  6. Step 6: Final answer
    x = 156,038.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.