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Finding the Third Proportional to 6,841.13 and 7,858.69

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Solution

The third proportional to 6,841.13 and 7,858.69 is: 9,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.13 : 7,858.69 = 7,858.69 : x
  2. Step 2: Convert to fraction form
    6,841.13/7,858.69 = 7,858.69/x
  3. Step 3: Cross multiply
    6,841.13x = 7,858.69 × 7,858.69
  4. Step 4: Simplify right side
    6,841.13x = 61,758,969.22
  5. Step 5: Solve for x
    x = 61,758,969.22/6,841.13
  6. Step 6: Final answer
    x = 9,027.60

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.