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Finding the Third Proportional to 12,564 and 14,708

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Solution

The third proportional to 12,564 and 14,708 is: 17,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 14,708 = 14,708 : x
  2. Step 2: Convert to fraction form
    12,564/14,708 = 14,708/x
  3. Step 3: Cross multiply
    12,564x = 14,708 × 14,708
  4. Step 4: Simplify right side
    12,564x = 216,325,264
  5. Step 5: Solve for x
    x = 216,325,264/12,564
  6. Step 6: Final answer
    x = 17,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.