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Finding the Third Proportional to 4,316.25 and 9,750.75

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Solution

The third proportional to 4,316.25 and 9,750.75 is: 22,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.25 : 9,750.75 = 9,750.75 : x
  2. Step 2: Convert to fraction form
    4,316.25/9,750.75 = 9,750.75/x
  3. Step 3: Cross multiply
    4,316.25x = 9,750.75 × 9,750.75
  4. Step 4: Simplify right side
    4,316.25x = 95,077,125.56
  5. Step 5: Solve for x
    x = 95,077,125.56/4,316.25
  6. Step 6: Final answer
    x = 22,027.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.