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Finding the Third Proportional to 22,971 and 35,499

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Solution

The third proportional to 22,971 and 35,499 is: 54,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971 : 35,499 = 35,499 : x
  2. Step 2: Convert to fraction form
    22,971/35,499 = 35,499/x
  3. Step 3: Cross multiply
    22,971x = 35,499 × 35,499
  4. Step 4: Simplify right side
    22,971x = 1,260,179,001
  5. Step 5: Solve for x
    x = 1,260,179,001/22,971
  6. Step 6: Final answer
    x = 54,859.56

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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.