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Finding the Third Proportional to 38,813.06 and 83,572.31

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Solution

The third proportional to 38,813.06 and 83,572.31 is: 179,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813.06 : 83,572.31 = 83,572.31 : x
  2. Step 2: Convert to fraction form
    38,813.06/83,572.31 = 83,572.31/x
  3. Step 3: Cross multiply
    38,813.06x = 83,572.31 × 83,572.31
  4. Step 4: Simplify right side
    38,813.06x = 6,984,331,416.60
  5. Step 5: Solve for x
    x = 6,984,331,416.60/38,813.06
  6. Step 6: Final answer
    x = 179,947.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.