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Finding the Third Proportional to 24,437 and 36,860

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Solution

The third proportional to 24,437 and 36,860 is: 55,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437 : 36,860 = 36,860 : x
  2. Step 2: Convert to fraction form
    24,437/36,860 = 36,860/x
  3. Step 3: Cross multiply
    24,437x = 36,860 × 36,860
  4. Step 4: Simplify right side
    24,437x = 1,358,659,600
  5. Step 5: Solve for x
    x = 1,358,659,600/24,437
  6. Step 6: Final answer
    x = 55,598.46

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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.