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Finding the Third Proportional to 6,874.88 and 10,926.56

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Solution

The third proportional to 6,874.88 and 10,926.56 is: 17,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.88 : 10,926.56 = 10,926.56 : x
  2. Step 2: Convert to fraction form
    6,874.88/10,926.56 = 10,926.56/x
  3. Step 3: Cross multiply
    6,874.88x = 10,926.56 × 10,926.56
  4. Step 4: Simplify right side
    6,874.88x = 119,389,768.07
  5. Step 5: Solve for x
    x = 119,389,768.07/6,874.88
  6. Step 6: Final answer
    x = 17,366.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.