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Finding the Third Proportional to 1,588.28 and 3,422.17

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Solution

The third proportional to 1,588.28 and 3,422.17 is: 7,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.28 : 3,422.17 = 3,422.17 : x
  2. Step 2: Convert to fraction form
    1,588.28/3,422.17 = 3,422.17/x
  3. Step 3: Cross multiply
    1,588.28x = 3,422.17 × 3,422.17
  4. Step 4: Simplify right side
    1,588.28x = 11,711,253.66
  5. Step 5: Solve for x
    x = 11,711,253.66/1,588.28
  6. Step 6: Final answer
    x = 7,373.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.