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Finding the Third Proportional to 859.88 and 1,362.38

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Solution

The third proportional to 859.88 and 1,362.38 is: 2,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.88 : 1,362.38 = 1,362.38 : x
  2. Step 2: Convert to fraction form
    859.88/1,362.38 = 1,362.38/x
  3. Step 3: Cross multiply
    859.88x = 1,362.38 × 1,362.38
  4. Step 4: Simplify right side
    859.88x = 1,856,065.64
  5. Step 5: Solve for x
    x = 1,856,065.64/859.88
  6. Step 6: Final answer
    x = 2,158.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.