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Finding the Third Proportional to 1,442.88 and 3,077.75

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Solution

The third proportional to 1,442.88 and 3,077.75 is: 6,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.88 : 3,077.75 = 3,077.75 : x
  2. Step 2: Convert to fraction form
    1,442.88/3,077.75 = 3,077.75/x
  3. Step 3: Cross multiply
    1,442.88x = 3,077.75 × 3,077.75
  4. Step 4: Simplify right side
    1,442.88x = 9,472,545.06
  5. Step 5: Solve for x
    x = 9,472,545.06/1,442.88
  6. Step 6: Final answer
    x = 6,565.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.