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Finding the Third Proportional to 6,900.75 and 11,044.13

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Solution

The third proportional to 6,900.75 and 11,044.13 is: 17,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.75 : 11,044.13 = 11,044.13 : x
  2. Step 2: Convert to fraction form
    6,900.75/11,044.13 = 11,044.13/x
  3. Step 3: Cross multiply
    6,900.75x = 11,044.13 × 11,044.13
  4. Step 4: Simplify right side
    6,900.75x = 121,972,697.02
  5. Step 5: Solve for x
    x = 121,972,697.02/6,900.75
  6. Step 6: Final answer
    x = 17,675.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.