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Finding the Third Proportional to 687.55 and 1,473.82

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Solution

The third proportional to 687.55 and 1,473.82 is: 3,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.55 : 1,473.82 = 1,473.82 : x
  2. Step 2: Convert to fraction form
    687.55/1,473.82 = 1,473.82/x
  3. Step 3: Cross multiply
    687.55x = 1,473.82 × 1,473.82
  4. Step 4: Simplify right side
    687.55x = 2,172,146.31
  5. Step 5: Solve for x
    x = 2,172,146.31/687.55
  6. Step 6: Final answer
    x = 3,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.