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Finding the Third Proportional to 1,873.76 and 2,742.29

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Solution

The third proportional to 1,873.76 and 2,742.29 is: 4,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.76 : 2,742.29 = 2,742.29 : x
  2. Step 2: Convert to fraction form
    1,873.76/2,742.29 = 2,742.29/x
  3. Step 3: Cross multiply
    1,873.76x = 2,742.29 × 2,742.29
  4. Step 4: Simplify right side
    1,873.76x = 7,520,170.73
  5. Step 5: Solve for x
    x = 7,520,170.73/1,873.76
  6. Step 6: Final answer
    x = 4,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.