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Finding the Third Proportional to 14,874 and 32,508

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Solution

The third proportional to 14,874 and 32,508 is: 71,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874 : 32,508 = 32,508 : x
  2. Step 2: Convert to fraction form
    14,874/32,508 = 32,508/x
  3. Step 3: Cross multiply
    14,874x = 32,508 × 32,508
  4. Step 4: Simplify right side
    14,874x = 1,056,770,064
  5. Step 5: Solve for x
    x = 1,056,770,064/14,874
  6. Step 6: Final answer
    x = 71,048.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.