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Finding the Third Proportional to 38,383.31 and 59,214.66

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Solution

The third proportional to 38,383.31 and 59,214.66 is: 91,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,383.31 : 59,214.66 = 59,214.66 : x
  2. Step 2: Convert to fraction form
    38,383.31/59,214.66 = 59,214.66/x
  3. Step 3: Cross multiply
    38,383.31x = 59,214.66 × 59,214.66
  4. Step 4: Simplify right side
    38,383.31x = 3,506,375,514.81
  5. Step 5: Solve for x
    x = 3,506,375,514.81/38,383.31
  6. Step 6: Final answer
    x = 91,351.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.