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Finding the Third Proportional to 24,074 and 50,776

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Solution

The third proportional to 24,074 and 50,776 is: 107,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074 : 50,776 = 50,776 : x
  2. Step 2: Convert to fraction form
    24,074/50,776 = 50,776/x
  3. Step 3: Cross multiply
    24,074x = 50,776 × 50,776
  4. Step 4: Simplify right side
    24,074x = 2,578,202,176
  5. Step 5: Solve for x
    x = 2,578,202,176/24,074
  6. Step 6: Final answer
    x = 107,094.88

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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.