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Finding the Third Proportional to 3,117.23 and 4,330.34

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Solution

The third proportional to 3,117.23 and 4,330.34 is: 6,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.23 : 4,330.34 = 4,330.34 : x
  2. Step 2: Convert to fraction form
    3,117.23/4,330.34 = 4,330.34/x
  3. Step 3: Cross multiply
    3,117.23x = 4,330.34 × 4,330.34
  4. Step 4: Simplify right side
    3,117.23x = 18,751,809.33
  5. Step 5: Solve for x
    x = 18,751,809.33/3,117.23
  6. Step 6: Final answer
    x = 6,015.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.