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Finding the Third Proportional to 1,886.73 and 2,932.14

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Solution

The third proportional to 1,886.73 and 2,932.14 is: 4,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.73 : 2,932.14 = 2,932.14 : x
  2. Step 2: Convert to fraction form
    1,886.73/2,932.14 = 2,932.14/x
  3. Step 3: Cross multiply
    1,886.73x = 2,932.14 × 2,932.14
  4. Step 4: Simplify right side
    1,886.73x = 8,597,425.74
  5. Step 5: Solve for x
    x = 8,597,425.74/1,886.73
  6. Step 6: Final answer
    x = 4,556.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.