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Finding the Third Proportional to 25,382 and 54,644

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Solution

The third proportional to 25,382 and 54,644 is: 117,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382 : 54,644 = 54,644 : x
  2. Step 2: Convert to fraction form
    25,382/54,644 = 54,644/x
  3. Step 3: Cross multiply
    25,382x = 54,644 × 54,644
  4. Step 4: Simplify right side
    25,382x = 2,985,966,736
  5. Step 5: Solve for x
    x = 2,985,966,736/25,382
  6. Step 6: Final answer
    x = 117,641.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.