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Finding the Third Proportional to 24,825 and 54,113

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Solution

The third proportional to 24,825 and 54,113 is: 117,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825 : 54,113 = 54,113 : x
  2. Step 2: Convert to fraction form
    24,825/54,113 = 54,113/x
  3. Step 3: Cross multiply
    24,825x = 54,113 × 54,113
  4. Step 4: Simplify right side
    24,825x = 2,928,216,769
  5. Step 5: Solve for x
    x = 2,928,216,769/24,825
  6. Step 6: Final answer
    x = 117,954.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.