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Finding the Third Proportional to 6,901.88 and 9,077.06

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Solution

The third proportional to 6,901.88 and 9,077.06 is: 11,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.88 : 9,077.06 = 9,077.06 : x
  2. Step 2: Convert to fraction form
    6,901.88/9,077.06 = 9,077.06/x
  3. Step 3: Cross multiply
    6,901.88x = 9,077.06 × 9,077.06
  4. Step 4: Simplify right side
    6,901.88x = 82,393,063.63
  5. Step 5: Solve for x
    x = 82,393,063.63/6,901.88
  6. Step 6: Final answer
    x = 11,937.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.