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Finding the Third Proportional to 25,272 and 38,674.97

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Solution

The third proportional to 25,272 and 38,674.97 is: 59,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272 : 38,674.97 = 38,674.97 : x
  2. Step 2: Convert to fraction form
    25,272/38,674.97 = 38,674.97/x
  3. Step 3: Cross multiply
    25,272x = 38,674.97 × 38,674.97
  4. Step 4: Simplify right side
    25,272x = 1,495,753,207.81
  5. Step 5: Solve for x
    x = 1,495,753,207.81/25,272
  6. Step 6: Final answer
    x = 59,186.18

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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.