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Finding the Third Proportional to 24,750 and 52,260

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Solution

The third proportional to 24,750 and 52,260 is: 110,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750 : 52,260 = 52,260 : x
  2. Step 2: Convert to fraction form
    24,750/52,260 = 52,260/x
  3. Step 3: Cross multiply
    24,750x = 52,260 × 52,260
  4. Step 4: Simplify right side
    24,750x = 2,731,107,600
  5. Step 5: Solve for x
    x = 2,731,107,600/24,750
  6. Step 6: Final answer
    x = 110,347.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.