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Finding the Third Proportional to 14,659.50 and 31,677

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Solution

The third proportional to 14,659.50 and 31,677 is: 68,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.50 : 31,677 = 31,677 : x
  2. Step 2: Convert to fraction form
    14,659.50/31,677 = 31,677/x
  3. Step 3: Cross multiply
    14,659.50x = 31,677 × 31,677
  4. Step 4: Simplify right side
    14,659.50x = 1,003,432,329
  5. Step 5: Solve for x
    x = 1,003,432,329/14,659.50
  6. Step 6: Final answer
    x = 68,449.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.