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Finding the Third Proportional to 24,707 and 36,237

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Solution

The third proportional to 24,707 and 36,237 is: 53,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707 : 36,237 = 36,237 : x
  2. Step 2: Convert to fraction form
    24,707/36,237 = 36,237/x
  3. Step 3: Cross multiply
    24,707x = 36,237 × 36,237
  4. Step 4: Simplify right side
    24,707x = 1,313,120,169
  5. Step 5: Solve for x
    x = 1,313,120,169/24,707
  6. Step 6: Final answer
    x = 53,147.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.