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Finding the Third Proportional to 24,725 and 38,274

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Solution

The third proportional to 24,725 and 38,274 is: 59,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,725 : 38,274 = 38,274 : x
  2. Step 2: Convert to fraction form
    24,725/38,274 = 38,274/x
  3. Step 3: Cross multiply
    24,725x = 38,274 × 38,274
  4. Step 4: Simplify right side
    24,725x = 1,464,899,076
  5. Step 5: Solve for x
    x = 1,464,899,076/24,725
  6. Step 6: Final answer
    x = 59,247.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.