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Finding the Third Proportional to 1,871.44 and 2,898.28

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Solution

The third proportional to 1,871.44 and 2,898.28 is: 4,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.44 : 2,898.28 = 2,898.28 : x
  2. Step 2: Convert to fraction form
    1,871.44/2,898.28 = 2,898.28/x
  3. Step 3: Cross multiply
    1,871.44x = 2,898.28 × 2,898.28
  4. Step 4: Simplify right side
    1,871.44x = 8,400,034.20
  5. Step 5: Solve for x
    x = 8,400,034.20/1,871.44
  6. Step 6: Final answer
    x = 4,488.55

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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.