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Finding the Third Proportional to 32,462 and 69,776

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Solution

The third proportional to 32,462 and 69,776 is: 149,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462 : 69,776 = 69,776 : x
  2. Step 2: Convert to fraction form
    32,462/69,776 = 69,776/x
  3. Step 3: Cross multiply
    32,462x = 69,776 × 69,776
  4. Step 4: Simplify right side
    32,462x = 4,868,690,176
  5. Step 5: Solve for x
    x = 4,868,690,176/32,462
  6. Step 6: Final answer
    x = 149,981.21

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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.