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Finding the Third Proportional to 6,804 and 7,651.13

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Solution

The third proportional to 6,804 and 7,651.13 is: 8,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804 : 7,651.13 = 7,651.13 : x
  2. Step 2: Convert to fraction form
    6,804/7,651.13 = 7,651.13/x
  3. Step 3: Cross multiply
    6,804x = 7,651.13 × 7,651.13
  4. Step 4: Simplify right side
    6,804x = 58,539,713.77
  5. Step 5: Solve for x
    x = 58,539,713.77/6,804
  6. Step 6: Final answer
    x = 8,603.72

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.