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Finding the Third Proportional to 25,014 and 38,353

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Solution

The third proportional to 25,014 and 38,353 is: 58,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,014 : 38,353 = 38,353 : x
  2. Step 2: Convert to fraction form
    25,014/38,353 = 38,353/x
  3. Step 3: Cross multiply
    25,014x = 38,353 × 38,353
  4. Step 4: Simplify right side
    25,014x = 1,470,952,609
  5. Step 5: Solve for x
    x = 1,470,952,609/25,014
  6. Step 6: Final answer
    x = 58,805.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.