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Finding the Third Proportional to 32,513 and 69,877

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Solution

The third proportional to 32,513 and 69,877 is: 150,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513 : 69,877 = 69,877 : x
  2. Step 2: Convert to fraction form
    32,513/69,877 = 69,877/x
  3. Step 3: Cross multiply
    32,513x = 69,877 × 69,877
  4. Step 4: Simplify right side
    32,513x = 4,882,795,129
  5. Step 5: Solve for x
    x = 4,882,795,129/32,513
  6. Step 6: Final answer
    x = 150,179.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.