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Finding the Third Proportional to 1,595.53 and 2,427.05

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Solution

The third proportional to 1,595.53 and 2,427.05 is: 3,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.53 : 2,427.05 = 2,427.05 : x
  2. Step 2: Convert to fraction form
    1,595.53/2,427.05 = 2,427.05/x
  3. Step 3: Cross multiply
    1,595.53x = 2,427.05 × 2,427.05
  4. Step 4: Simplify right side
    1,595.53x = 5,890,556.53
  5. Step 5: Solve for x
    x = 5,890,556.53/1,595.53
  6. Step 6: Final answer
    x = 3,691.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.