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Finding the Third Proportional to 25,514 and 38,297

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Solution

The third proportional to 25,514 and 38,297 is: 57,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514 : 38,297 = 38,297 : x
  2. Step 2: Convert to fraction form
    25,514/38,297 = 38,297/x
  3. Step 3: Cross multiply
    25,514x = 38,297 × 38,297
  4. Step 4: Simplify right side
    25,514x = 1,466,660,209
  5. Step 5: Solve for x
    x = 1,466,660,209/25,514
  6. Step 6: Final answer
    x = 57,484.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.