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Finding the Third Proportional to 5,294.81 and 11,678.06

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Solution

The third proportional to 5,294.81 and 11,678.06 is: 25,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.81 : 11,678.06 = 11,678.06 : x
  2. Step 2: Convert to fraction form
    5,294.81/11,678.06 = 11,678.06/x
  3. Step 3: Cross multiply
    5,294.81x = 11,678.06 × 11,678.06
  4. Step 4: Simplify right side
    5,294.81x = 136,377,143.75
  5. Step 5: Solve for x
    x = 136,377,143.75/5,294.81
  6. Step 6: Final answer
    x = 25,756.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.