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Finding the Third Proportional to 1,166 and 1,588

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Solution

The third proportional to 1,166 and 1,588 is: 2,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 1,588 = 1,588 : x
  2. Step 2: Convert to fraction form
    1,166/1,588 = 1,588/x
  3. Step 3: Cross multiply
    1,166x = 1,588 × 1,588
  4. Step 4: Simplify right side
    1,166x = 2,521,744
  5. Step 5: Solve for x
    x = 2,521,744/1,166
  6. Step 6: Final answer
    x = 2,162.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.