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Finding the Third Proportional to 24,248 and 36,277

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Solution

The third proportional to 24,248 and 36,277 is: 54,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,248 : 36,277 = 36,277 : x
  2. Step 2: Convert to fraction form
    24,248/36,277 = 36,277/x
  3. Step 3: Cross multiply
    24,248x = 36,277 × 36,277
  4. Step 4: Simplify right side
    24,248x = 1,316,020,729
  5. Step 5: Solve for x
    x = 1,316,020,729/24,248
  6. Step 6: Final answer
    x = 54,273.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.