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Finding the Third Proportional to 32,251.50 and 68,877

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Solution

The third proportional to 32,251.50 and 68,877 is: 147,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,251.50 : 68,877 = 68,877 : x
  2. Step 2: Convert to fraction form
    32,251.50/68,877 = 68,877/x
  3. Step 3: Cross multiply
    32,251.50x = 68,877 × 68,877
  4. Step 4: Simplify right side
    32,251.50x = 4,744,041,129
  5. Step 5: Solve for x
    x = 4,744,041,129/32,251.50
  6. Step 6: Final answer
    x = 147,095.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.