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Finding the Third Proportional to 4,251.75 and 6,566.25

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Solution

The third proportional to 4,251.75 and 6,566.25 is: 10,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.75 : 6,566.25 = 6,566.25 : x
  2. Step 2: Convert to fraction form
    4,251.75/6,566.25 = 6,566.25/x
  3. Step 3: Cross multiply
    4,251.75x = 6,566.25 × 6,566.25
  4. Step 4: Simplify right side
    4,251.75x = 43,115,639.06
  5. Step 5: Solve for x
    x = 43,115,639.06/4,251.75
  6. Step 6: Final answer
    x = 10,140.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.