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Finding the Third Proportional to 687.66 and 1,442.81

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Solution

The third proportional to 687.66 and 1,442.81 is: 3,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.66 : 1,442.81 = 1,442.81 : x
  2. Step 2: Convert to fraction form
    687.66/1,442.81 = 1,442.81/x
  3. Step 3: Cross multiply
    687.66x = 1,442.81 × 1,442.81
  4. Step 4: Simplify right side
    687.66x = 2,081,707.91
  5. Step 5: Solve for x
    x = 2,081,707.91/687.66
  6. Step 6: Final answer
    x = 3,027.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.