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Finding the Third Proportional to 5,284 and 8,065

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Solution

The third proportional to 5,284 and 8,065 is: 12,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284 : 8,065 = 8,065 : x
  2. Step 2: Convert to fraction form
    5,284/8,065 = 8,065/x
  3. Step 3: Cross multiply
    5,284x = 8,065 × 8,065
  4. Step 4: Simplify right side
    5,284x = 65,044,225
  5. Step 5: Solve for x
    x = 65,044,225/5,284
  6. Step 6: Final answer
    x = 12,309.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.