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Finding the Third Proportional to 24,827 and 54,117

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Solution

The third proportional to 24,827 and 54,117 is: 117,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827 : 54,117 = 54,117 : x
  2. Step 2: Convert to fraction form
    24,827/54,117 = 54,117/x
  3. Step 3: Cross multiply
    24,827x = 54,117 × 54,117
  4. Step 4: Simplify right side
    24,827x = 2,928,649,689
  5. Step 5: Solve for x
    x = 2,928,649,689/24,827
  6. Step 6: Final answer
    x = 117,962.29

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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.