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Finding the Third Proportional to 9,169 and 12,382

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Solution

The third proportional to 9,169 and 12,382 is: 16,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169 : 12,382 = 12,382 : x
  2. Step 2: Convert to fraction form
    9,169/12,382 = 12,382/x
  3. Step 3: Cross multiply
    9,169x = 12,382 × 12,382
  4. Step 4: Simplify right side
    9,169x = 153,313,924
  5. Step 5: Solve for x
    x = 153,313,924/9,169
  6. Step 6: Final answer
    x = 16,720.90

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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.