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Finding the Third Proportional to 23,074 and 48,577

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Solution

The third proportional to 23,074 and 48,577 is: 102,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074 : 48,577 = 48,577 : x
  2. Step 2: Convert to fraction form
    23,074/48,577 = 48,577/x
  3. Step 3: Cross multiply
    23,074x = 48,577 × 48,577
  4. Step 4: Simplify right side
    23,074x = 2,359,724,929
  5. Step 5: Solve for x
    x = 2,359,724,929/23,074
  6. Step 6: Final answer
    x = 102,267.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.