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Finding the Third Proportional to 4,200.28 and 9,170.06

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Solution

The third proportional to 4,200.28 and 9,170.06 is: 20,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.28 : 9,170.06 = 9,170.06 : x
  2. Step 2: Convert to fraction form
    4,200.28/9,170.06 = 9,170.06/x
  3. Step 3: Cross multiply
    4,200.28x = 9,170.06 × 9,170.06
  4. Step 4: Simplify right side
    4,200.28x = 84,090,046.25
  5. Step 5: Solve for x
    x = 84,090,046.25/4,200.28
  6. Step 6: Final answer
    x = 20,020.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.