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Finding the Third Proportional to 38,855.25 and 83,913.75

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Solution

The third proportional to 38,855.25 and 83,913.75 is: 181,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855.25 : 83,913.75 = 83,913.75 : x
  2. Step 2: Convert to fraction form
    38,855.25/83,913.75 = 83,913.75/x
  3. Step 3: Cross multiply
    38,855.25x = 83,913.75 × 83,913.75
  4. Step 4: Simplify right side
    38,855.25x = 7,041,517,439.06
  5. Step 5: Solve for x
    x = 7,041,517,439.06/38,855.25
  6. Step 6: Final answer
    x = 181,224.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.