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Finding the Third Proportional to 25,498 and 54,902

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Solution

The third proportional to 25,498 and 54,902 is: 118,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498 : 54,902 = 54,902 : x
  2. Step 2: Convert to fraction form
    25,498/54,902 = 54,902/x
  3. Step 3: Cross multiply
    25,498x = 54,902 × 54,902
  4. Step 4: Simplify right side
    25,498x = 3,014,229,604
  5. Step 5: Solve for x
    x = 3,014,229,604/25,498
  6. Step 6: Final answer
    x = 118,214.35

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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.