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Finding the Third Proportional to 24,579 and 52,661

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Solution

The third proportional to 24,579 and 52,661 is: 112,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,579 : 52,661 = 52,661 : x
  2. Step 2: Convert to fraction form
    24,579/52,661 = 52,661/x
  3. Step 3: Cross multiply
    24,579x = 52,661 × 52,661
  4. Step 4: Simplify right side
    24,579x = 2,773,180,921
  5. Step 5: Solve for x
    x = 2,773,180,921/24,579
  6. Step 6: Final answer
    x = 112,827.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.