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Finding the Third Proportional to 32,349 and 67,776

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Solution

The third proportional to 32,349 and 67,776 is: 142,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,349 : 67,776 = 67,776 : x
  2. Step 2: Convert to fraction form
    32,349/67,776 = 67,776/x
  3. Step 3: Cross multiply
    32,349x = 67,776 × 67,776
  4. Step 4: Simplify right side
    32,349x = 4,593,586,176
  5. Step 5: Solve for x
    x = 4,593,586,176/32,349
  6. Step 6: Final answer
    x = 142,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.