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Finding the Third Proportional to 24,688.50 and 39,759

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Solution

The third proportional to 24,688.50 and 39,759 is: 64,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.50 : 39,759 = 39,759 : x
  2. Step 2: Convert to fraction form
    24,688.50/39,759 = 39,759/x
  3. Step 3: Cross multiply
    24,688.50x = 39,759 × 39,759
  4. Step 4: Simplify right side
    24,688.50x = 1,580,778,081
  5. Step 5: Solve for x
    x = 1,580,778,081/24,688.50
  6. Step 6: Final answer
    x = 64,028.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.