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Finding the Third Proportional to 5,266.25 and 7,912.88

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Solution

The third proportional to 5,266.25 and 7,912.88 is: 11,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.25 : 7,912.88 = 7,912.88 : x
  2. Step 2: Convert to fraction form
    5,266.25/7,912.88 = 7,912.88/x
  3. Step 3: Cross multiply
    5,266.25x = 7,912.88 × 7,912.88
  4. Step 4: Simplify right side
    5,266.25x = 62,613,590.77
  5. Step 5: Solve for x
    x = 62,613,590.77/5,266.25
  6. Step 6: Final answer
    x = 11,889.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.