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Finding the Third Proportional to 25,484 and 54,853

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Solution

The third proportional to 25,484 and 54,853 is: 118,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484 : 54,853 = 54,853 : x
  2. Step 2: Convert to fraction form
    25,484/54,853 = 54,853/x
  3. Step 3: Cross multiply
    25,484x = 54,853 × 54,853
  4. Step 4: Simplify right side
    25,484x = 3,008,851,609
  5. Step 5: Solve for x
    x = 3,008,851,609/25,484
  6. Step 6: Final answer
    x = 118,068.26

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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.