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Finding the Third Proportional to 24,276 and 50,748

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Solution

The third proportional to 24,276 and 50,748 is: 106,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276 : 50,748 = 50,748 : x
  2. Step 2: Convert to fraction form
    24,276/50,748 = 50,748/x
  3. Step 3: Cross multiply
    24,276x = 50,748 × 50,748
  4. Step 4: Simplify right side
    24,276x = 2,575,359,504
  5. Step 5: Solve for x
    x = 2,575,359,504/24,276
  6. Step 6: Final answer
    x = 106,086.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.