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Finding the Third Proportional to 3,242.25 and 4,760.25

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Solution

The third proportional to 3,242.25 and 4,760.25 is: 6,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.25 : 4,760.25 = 4,760.25 : x
  2. Step 2: Convert to fraction form
    3,242.25/4,760.25 = 4,760.25/x
  3. Step 3: Cross multiply
    3,242.25x = 4,760.25 × 4,760.25
  4. Step 4: Simplify right side
    3,242.25x = 22,659,980.06
  5. Step 5: Solve for x
    x = 22,659,980.06/3,242.25
  6. Step 6: Final answer
    x = 6,988.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.