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Finding the Third Proportional to 6,769.13 and 9,055.13

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Solution

The third proportional to 6,769.13 and 9,055.13 is: 12,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.13 : 9,055.13 = 9,055.13 : x
  2. Step 2: Convert to fraction form
    6,769.13/9,055.13 = 9,055.13/x
  3. Step 3: Cross multiply
    6,769.13x = 9,055.13 × 9,055.13
  4. Step 4: Simplify right side
    6,769.13x = 81,995,288.77
  5. Step 5: Solve for x
    x = 81,995,288.77/6,769.13
  6. Step 6: Final answer
    x = 12,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.