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Finding the Third Proportional to 5,786 and 9,065

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Solution

The third proportional to 5,786 and 9,065 is: 14,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 9,065 = 9,065 : x
  2. Step 2: Convert to fraction form
    5,786/9,065 = 9,065/x
  3. Step 3: Cross multiply
    5,786x = 9,065 × 9,065
  4. Step 4: Simplify right side
    5,786x = 82,174,225
  5. Step 5: Solve for x
    x = 82,174,225/5,786
  6. Step 6: Final answer
    x = 14,202.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.