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Finding the Third Proportional to 38,324.25 and 59,478.75

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Solution

The third proportional to 38,324.25 and 59,478.75 is: 92,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324.25 : 59,478.75 = 59,478.75 : x
  2. Step 2: Convert to fraction form
    38,324.25/59,478.75 = 59,478.75/x
  3. Step 3: Cross multiply
    38,324.25x = 59,478.75 × 59,478.75
  4. Step 4: Simplify right side
    38,324.25x = 3,537,721,701.56
  5. Step 5: Solve for x
    x = 3,537,721,701.56/38,324.25
  6. Step 6: Final answer
    x = 92,310.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.