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Finding the Third Proportional to 38,913.75 and 85,102.97

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Solution

The third proportional to 38,913.75 and 85,102.97 is: 186,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,913.75 : 85,102.97 = 85,102.97 : x
  2. Step 2: Convert to fraction form
    38,913.75/85,102.97 = 85,102.97/x
  3. Step 3: Cross multiply
    38,913.75x = 85,102.97 × 85,102.97
  4. Step 4: Simplify right side
    38,913.75x = 7,242,515,290.06
  5. Step 5: Solve for x
    x = 7,242,515,290.06/38,913.75
  6. Step 6: Final answer
    x = 186,117.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.