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Finding the Third Proportional to 876.66 and 1,927.97

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Solution

The third proportional to 876.66 and 1,927.97 is: 4,240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.66 : 1,927.97 = 1,927.97 : x
  2. Step 2: Convert to fraction form
    876.66/1,927.97 = 1,927.97/x
  3. Step 3: Cross multiply
    876.66x = 1,927.97 × 1,927.97
  4. Step 4: Simplify right side
    876.66x = 3,717,063.50
  5. Step 5: Solve for x
    x = 3,717,063.50/876.66
  6. Step 6: Final answer
    x = 4,240.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.