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Finding the Third Proportional to 6,145.88 and 7,943.06

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Solution

The third proportional to 6,145.88 and 7,943.06 is: 10,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.88 : 7,943.06 = 7,943.06 : x
  2. Step 2: Convert to fraction form
    6,145.88/7,943.06 = 7,943.06/x
  3. Step 3: Cross multiply
    6,145.88x = 7,943.06 × 7,943.06
  4. Step 4: Simplify right side
    6,145.88x = 63,092,241.88
  5. Step 5: Solve for x
    x = 63,092,241.88/6,145.88
  6. Step 6: Final answer
    x = 10,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.