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Finding the Third Proportional to 9,259 and 12,531

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Solution

The third proportional to 9,259 and 12,531 is: 16,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259 : 12,531 = 12,531 : x
  2. Step 2: Convert to fraction form
    9,259/12,531 = 12,531/x
  3. Step 3: Cross multiply
    9,259x = 12,531 × 12,531
  4. Step 4: Simplify right side
    9,259x = 157,025,961
  5. Step 5: Solve for x
    x = 157,025,961/9,259
  6. Step 6: Final answer
    x = 16,959.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.