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Finding the Third Proportional to 5,246.25 and 7,919.91

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Solution

The third proportional to 5,246.25 and 7,919.91 is: 11,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.25 : 7,919.91 = 7,919.91 : x
  2. Step 2: Convert to fraction form
    5,246.25/7,919.91 = 7,919.91/x
  3. Step 3: Cross multiply
    5,246.25x = 7,919.91 × 7,919.91
  4. Step 4: Simplify right side
    5,246.25x = 62,724,915.01
  5. Step 5: Solve for x
    x = 62,724,915.01/5,246.25
  6. Step 6: Final answer
    x = 11,956.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.