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Finding the Third Proportional to 24,825 and 34,726

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Solution

The third proportional to 24,825 and 34,726 is: 48,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825 : 34,726 = 34,726 : x
  2. Step 2: Convert to fraction form
    24,825/34,726 = 34,726/x
  3. Step 3: Cross multiply
    24,825x = 34,726 × 34,726
  4. Step 4: Simplify right side
    24,825x = 1,205,895,076
  5. Step 5: Solve for x
    x = 1,205,895,076/24,825
  6. Step 6: Final answer
    x = 48,575.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.