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Finding the Third Proportional to 7,317.05 and 8,085.92

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Solution

The third proportional to 7,317.05 and 8,085.92 is: 8,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.05 : 8,085.92 = 8,085.92 : x
  2. Step 2: Convert to fraction form
    7,317.05/8,085.92 = 8,085.92/x
  3. Step 3: Cross multiply
    7,317.05x = 8,085.92 × 8,085.92
  4. Step 4: Simplify right side
    7,317.05x = 65,382,100.98
  5. Step 5: Solve for x
    x = 65,382,100.98/7,317.05
  6. Step 6: Final answer
    x = 8,935.58

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.