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Finding the Third Proportional to 13,952 and 32,729

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Solution

The third proportional to 13,952 and 32,729 is: 76,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952 : 32,729 = 32,729 : x
  2. Step 2: Convert to fraction form
    13,952/32,729 = 32,729/x
  3. Step 3: Cross multiply
    13,952x = 32,729 × 32,729
  4. Step 4: Simplify right side
    13,952x = 1,071,187,441
  5. Step 5: Solve for x
    x = 1,071,187,441/13,952
  6. Step 6: Final answer
    x = 76,776.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.