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Finding the Third Proportional to 7,205 and 8,861

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Solution

The third proportional to 7,205 and 8,861 is: 10,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 8,861 = 8,861 : x
  2. Step 2: Convert to fraction form
    7,205/8,861 = 8,861/x
  3. Step 3: Cross multiply
    7,205x = 8,861 × 8,861
  4. Step 4: Simplify right side
    7,205x = 78,517,321
  5. Step 5: Solve for x
    x = 78,517,321/7,205
  6. Step 6: Final answer
    x = 10,897.62

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.