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Finding the Third Proportional to 2,283.82 and 3,416.55

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Solution

The third proportional to 2,283.82 and 3,416.55 is: 5,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.82 : 3,416.55 = 3,416.55 : x
  2. Step 2: Convert to fraction form
    2,283.82/3,416.55 = 3,416.55/x
  3. Step 3: Cross multiply
    2,283.82x = 3,416.55 × 3,416.55
  4. Step 4: Simplify right side
    2,283.82x = 11,672,845.93
  5. Step 5: Solve for x
    x = 11,672,845.93/2,283.82
  6. Step 6: Final answer
    x = 5,111.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.