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Finding the Third Proportional to 2,207.34 and 3,333.52

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Solution

The third proportional to 2,207.34 and 3,333.52 is: 5,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.34 : 3,333.52 = 3,333.52 : x
  2. Step 2: Convert to fraction form
    2,207.34/3,333.52 = 3,333.52/x
  3. Step 3: Cross multiply
    2,207.34x = 3,333.52 × 3,333.52
  4. Step 4: Simplify right side
    2,207.34x = 11,112,326.42
  5. Step 5: Solve for x
    x = 11,112,326.42/2,207.34
  6. Step 6: Final answer
    x = 5,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.