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Finding the Third Proportional to 3,434.25 and 7,354.38

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Solution

The third proportional to 3,434.25 and 7,354.38 is: 15,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.25 : 7,354.38 = 7,354.38 : x
  2. Step 2: Convert to fraction form
    3,434.25/7,354.38 = 7,354.38/x
  3. Step 3: Cross multiply
    3,434.25x = 7,354.38 × 7,354.38
  4. Step 4: Simplify right side
    3,434.25x = 54,086,831.64
  5. Step 5: Solve for x
    x = 54,086,831.64/3,434.25
  6. Step 6: Final answer
    x = 15,749.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.