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Finding the Third Proportional to 24,762 and 52,980

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Solution

The third proportional to 24,762 and 52,980 is: 113,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762 : 52,980 = 52,980 : x
  2. Step 2: Convert to fraction form
    24,762/52,980 = 52,980/x
  3. Step 3: Cross multiply
    24,762x = 52,980 × 52,980
  4. Step 4: Simplify right side
    24,762x = 2,806,880,400
  5. Step 5: Solve for x
    x = 2,806,880,400/24,762
  6. Step 6: Final answer
    x = 113,354.35

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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.