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Finding the Third Proportional to 33,586.31 and 45,453.66

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Solution

The third proportional to 33,586.31 and 45,453.66 is: 61,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,586.31 : 45,453.66 = 45,453.66 : x
  2. Step 2: Convert to fraction form
    33,586.31/45,453.66 = 45,453.66/x
  3. Step 3: Cross multiply
    33,586.31x = 45,453.66 × 45,453.66
  4. Step 4: Simplify right side
    33,586.31x = 2,066,034,866.49
  5. Step 5: Solve for x
    x = 2,066,034,866.49/33,586.31
  6. Step 6: Final answer
    x = 61,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.