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Finding the Third Proportional to 24,759 and 36,592.50

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Solution

The third proportional to 24,759 and 36,592.50 is: 54,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,759 : 36,592.50 = 36,592.50 : x
  2. Step 2: Convert to fraction form
    24,759/36,592.50 = 36,592.50/x
  3. Step 3: Cross multiply
    24,759x = 36,592.50 × 36,592.50
  4. Step 4: Simplify right side
    24,759x = 1,339,011,056.25
  5. Step 5: Solve for x
    x = 1,339,011,056.25/24,759
  6. Step 6: Final answer
    x = 54,081.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.