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Finding the Third Proportional to 3,168.49 and 7,402.01

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Solution

The third proportional to 3,168.49 and 7,402.01 is: 17,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.49 : 7,402.01 = 7,402.01 : x
  2. Step 2: Convert to fraction form
    3,168.49/7,402.01 = 7,402.01/x
  3. Step 3: Cross multiply
    3,168.49x = 7,402.01 × 7,402.01
  4. Step 4: Simplify right side
    3,168.49x = 54,789,719.66
  5. Step 5: Solve for x
    x = 54,789,719.66/3,168.49
  6. Step 6: Final answer
    x = 17,292.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.