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Finding the Third Proportional to 27,425 and 40,098

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Solution

The third proportional to 27,425 and 40,098 is: 58,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425 : 40,098 = 40,098 : x
  2. Step 2: Convert to fraction form
    27,425/40,098 = 40,098/x
  3. Step 3: Cross multiply
    27,425x = 40,098 × 40,098
  4. Step 4: Simplify right side
    27,425x = 1,607,849,604
  5. Step 5: Solve for x
    x = 1,607,849,604/27,425
  6. Step 6: Final answer
    x = 58,627.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.