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Finding the Third Proportional to 1,442.91 and 3,116.44

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Solution

The third proportional to 1,442.91 and 3,116.44 is: 6,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.91 : 3,116.44 = 3,116.44 : x
  2. Step 2: Convert to fraction form
    1,442.91/3,116.44 = 3,116.44/x
  3. Step 3: Cross multiply
    1,442.91x = 3,116.44 × 3,116.44
  4. Step 4: Simplify right side
    1,442.91x = 9,712,182.69
  5. Step 5: Solve for x
    x = 9,712,182.69/1,442.91
  6. Step 6: Final answer
    x = 6,730.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.