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Finding the Third Proportional to 24,650 and 40,051

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Solution

The third proportional to 24,650 and 40,051 is: 65,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 40,051 = 40,051 : x
  2. Step 2: Convert to fraction form
    24,650/40,051 = 40,051/x
  3. Step 3: Cross multiply
    24,650x = 40,051 × 40,051
  4. Step 4: Simplify right side
    24,650x = 1,604,082,601
  5. Step 5: Solve for x
    x = 1,604,082,601/24,650
  6. Step 6: Final answer
    x = 65,074.34

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.