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Finding the Third Proportional to 5,292 and 7,861.50

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Solution

The third proportional to 5,292 and 7,861.50 is: 11,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292 : 7,861.50 = 7,861.50 : x
  2. Step 2: Convert to fraction form
    5,292/7,861.50 = 7,861.50/x
  3. Step 3: Cross multiply
    5,292x = 7,861.50 × 7,861.50
  4. Step 4: Simplify right side
    5,292x = 61,803,182.25
  5. Step 5: Solve for x
    x = 61,803,182.25/5,292
  6. Step 6: Final answer
    x = 11,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.