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Finding the Third Proportional to 5,278 and 11,382

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Solution

The third proportional to 5,278 and 11,382 is: 24,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278 : 11,382 = 11,382 : x
  2. Step 2: Convert to fraction form
    5,278/11,382 = 11,382/x
  3. Step 3: Cross multiply
    5,278x = 11,382 × 11,382
  4. Step 4: Simplify right side
    5,278x = 129,549,924
  5. Step 5: Solve for x
    x = 129,549,924/5,278
  6. Step 6: Final answer
    x = 24,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.