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Finding the Third Proportional to 24,990 and 37,414

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Solution

The third proportional to 24,990 and 37,414 is: 56,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,990 : 37,414 = 37,414 : x
  2. Step 2: Convert to fraction form
    24,990/37,414 = 37,414/x
  3. Step 3: Cross multiply
    24,990x = 37,414 × 37,414
  4. Step 4: Simplify right side
    24,990x = 1,399,807,396
  5. Step 5: Solve for x
    x = 1,399,807,396/24,990
  6. Step 6: Final answer
    x = 56,014.70

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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.