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Finding the Third Proportional to 24,277 and 36,587.50

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Solution

The third proportional to 24,277 and 36,587.50 is: 55,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277 : 36,587.50 = 36,587.50 : x
  2. Step 2: Convert to fraction form
    24,277/36,587.50 = 36,587.50/x
  3. Step 3: Cross multiply
    24,277x = 36,587.50 × 36,587.50
  4. Step 4: Simplify right side
    24,277x = 1,338,645,156.25
  5. Step 5: Solve for x
    x = 1,338,645,156.25/24,277
  6. Step 6: Final answer
    x = 55,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.