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Finding the Third Proportional to 5,234 and 5,666

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Solution

The third proportional to 5,234 and 5,666 is: 6,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 5,666 = 5,666 : x
  2. Step 2: Convert to fraction form
    5,234/5,666 = 5,666/x
  3. Step 3: Cross multiply
    5,234x = 5,666 × 5,666
  4. Step 4: Simplify right side
    5,234x = 32,103,556
  5. Step 5: Solve for x
    x = 32,103,556/5,234
  6. Step 6: Final answer
    x = 6,133.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.