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Finding the Third Proportional to 22,473 and 48,978

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Solution

The third proportional to 22,473 and 48,978 is: 106,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473 : 48,978 = 48,978 : x
  2. Step 2: Convert to fraction form
    22,473/48,978 = 48,978/x
  3. Step 3: Cross multiply
    22,473x = 48,978 × 48,978
  4. Step 4: Simplify right side
    22,473x = 2,398,844,484
  5. Step 5: Solve for x
    x = 2,398,844,484/22,473
  6. Step 6: Final answer
    x = 106,743.40

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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.