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Finding the Third Proportional to 39,454.59 and 83,769.19

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Solution

The third proportional to 39,454.59 and 83,769.19 is: 177,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,454.59 : 83,769.19 = 83,769.19 : x
  2. Step 2: Convert to fraction form
    39,454.59/83,769.19 = 83,769.19/x
  3. Step 3: Cross multiply
    39,454.59x = 83,769.19 × 83,769.19
  4. Step 4: Simplify right side
    39,454.59x = 7,017,276,774.41
  5. Step 5: Solve for x
    x = 7,017,276,774.41/39,454.59
  6. Step 6: Final answer
    x = 177,857.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.