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Finding the Third Proportional to 25,074 and 53,397

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Solution

The third proportional to 25,074 and 53,397 is: 113,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,074 : 53,397 = 53,397 : x
  2. Step 2: Convert to fraction form
    25,074/53,397 = 53,397/x
  3. Step 3: Cross multiply
    25,074x = 53,397 × 53,397
  4. Step 4: Simplify right side
    25,074x = 2,851,239,609
  5. Step 5: Solve for x
    x = 2,851,239,609/25,074
  6. Step 6: Final answer
    x = 113,712.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.