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Finding the Third Proportional to 24,997.50 and 54,369

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Solution

The third proportional to 24,997.50 and 54,369 is: 118,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,997.50 : 54,369 = 54,369 : x
  2. Step 2: Convert to fraction form
    24,997.50/54,369 = 54,369/x
  3. Step 3: Cross multiply
    24,997.50x = 54,369 × 54,369
  4. Step 4: Simplify right side
    24,997.50x = 2,955,988,161
  5. Step 5: Solve for x
    x = 2,955,988,161/24,997.50
  6. Step 6: Final answer
    x = 118,251.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.