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Finding the Third Proportional to 5,866 and 9,288

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Solution

The third proportional to 5,866 and 9,288 is: 14,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866 : 9,288 = 9,288 : x
  2. Step 2: Convert to fraction form
    5,866/9,288 = 9,288/x
  3. Step 3: Cross multiply
    5,866x = 9,288 × 9,288
  4. Step 4: Simplify right side
    5,866x = 86,266,944
  5. Step 5: Solve for x
    x = 86,266,944/5,866
  6. Step 6: Final answer
    x = 14,706.26

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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.