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Finding the Third Proportional to 25,284 and 54,382

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Solution

The third proportional to 25,284 and 54,382 is: 116,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 54,382 = 54,382 : x
  2. Step 2: Convert to fraction form
    25,284/54,382 = 54,382/x
  3. Step 3: Cross multiply
    25,284x = 54,382 × 54,382
  4. Step 4: Simplify right side
    25,284x = 2,957,401,924
  5. Step 5: Solve for x
    x = 2,957,401,924/25,284
  6. Step 6: Final answer
    x = 116,967.33

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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.