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Finding the Third Proportional to 2,342.67 and 3,334.61

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Solution

The third proportional to 2,342.67 and 3,334.61 is: 4,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.67 : 3,334.61 = 3,334.61 : x
  2. Step 2: Convert to fraction form
    2,342.67/3,334.61 = 3,334.61/x
  3. Step 3: Cross multiply
    2,342.67x = 3,334.61 × 3,334.61
  4. Step 4: Simplify right side
    2,342.67x = 11,119,593.63
  5. Step 5: Solve for x
    x = 11,119,593.63/2,342.67
  6. Step 6: Final answer
    x = 4,746.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.