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Finding the Third Proportional to 24,197 and 51,331

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Solution

The third proportional to 24,197 and 51,331 is: 108,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197 : 51,331 = 51,331 : x
  2. Step 2: Convert to fraction form
    24,197/51,331 = 51,331/x
  3. Step 3: Cross multiply
    24,197x = 51,331 × 51,331
  4. Step 4: Simplify right side
    24,197x = 2,634,871,561
  5. Step 5: Solve for x
    x = 2,634,871,561/24,197
  6. Step 6: Final answer
    x = 108,892.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.