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Finding the Third Proportional to 14,829 and 31,602

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Solution

The third proportional to 14,829 and 31,602 is: 67,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829 : 31,602 = 31,602 : x
  2. Step 2: Convert to fraction form
    14,829/31,602 = 31,602/x
  3. Step 3: Cross multiply
    14,829x = 31,602 × 31,602
  4. Step 4: Simplify right side
    14,829x = 998,686,404
  5. Step 5: Solve for x
    x = 998,686,404/14,829
  6. Step 6: Final answer
    x = 67,346.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.