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Finding the Third Proportional to 5,758.50 and 8,801.25

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Solution

The third proportional to 5,758.50 and 8,801.25 is: 13,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.50 : 8,801.25 = 8,801.25 : x
  2. Step 2: Convert to fraction form
    5,758.50/8,801.25 = 8,801.25/x
  3. Step 3: Cross multiply
    5,758.50x = 8,801.25 × 8,801.25
  4. Step 4: Simplify right side
    5,758.50x = 77,462,001.56
  5. Step 5: Solve for x
    x = 77,462,001.56/5,758.50
  6. Step 6: Final answer
    x = 13,451.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.