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Finding the Third Proportional to 24,854 and 37,518

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Solution

The third proportional to 24,854 and 37,518 is: 56,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854 : 37,518 = 37,518 : x
  2. Step 2: Convert to fraction form
    24,854/37,518 = 37,518/x
  3. Step 3: Cross multiply
    24,854x = 37,518 × 37,518
  4. Step 4: Simplify right side
    24,854x = 1,407,600,324
  5. Step 5: Solve for x
    x = 1,407,600,324/24,854
  6. Step 6: Final answer
    x = 56,634.76

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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.