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Finding the Third Proportional to 5,228.30 and 5,866.17

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Solution

The third proportional to 5,228.30 and 5,866.17 is: 6,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 5,866.17 = 5,866.17 : x
  2. Step 2: Convert to fraction form
    5,228.30/5,866.17 = 5,866.17/x
  3. Step 3: Cross multiply
    5,228.30x = 5,866.17 × 5,866.17
  4. Step 4: Simplify right side
    5,228.30x = 34,411,972.47
  5. Step 5: Solve for x
    x = 34,411,972.47/5,228.30
  6. Step 6: Final answer
    x = 6,581.87

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.