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Finding the Third Proportional to 6,509.74 and 7,816.82

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Solution

The third proportional to 6,509.74 and 7,816.82 is: 9,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.74 : 7,816.82 = 7,816.82 : x
  2. Step 2: Convert to fraction form
    6,509.74/7,816.82 = 7,816.82/x
  3. Step 3: Cross multiply
    6,509.74x = 7,816.82 × 7,816.82
  4. Step 4: Simplify right side
    6,509.74x = 61,102,618.73
  5. Step 5: Solve for x
    x = 61,102,618.73/6,509.74
  6. Step 6: Final answer
    x = 9,386.33

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.