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Finding the Third Proportional to 7,569 and 13,382

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Solution

The third proportional to 7,569 and 13,382 is: 23,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 13,382 = 13,382 : x
  2. Step 2: Convert to fraction form
    7,569/13,382 = 13,382/x
  3. Step 3: Cross multiply
    7,569x = 13,382 × 13,382
  4. Step 4: Simplify right side
    7,569x = 179,077,924
  5. Step 5: Solve for x
    x = 179,077,924/7,569
  6. Step 6: Final answer
    x = 23,659.39

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.