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Finding the Third Proportional to 39,241 and 85,007.75

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Solution

The third proportional to 39,241 and 85,007.75 is: 184,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,241 : 85,007.75 = 85,007.75 : x
  2. Step 2: Convert to fraction form
    39,241/85,007.75 = 85,007.75/x
  3. Step 3: Cross multiply
    39,241x = 85,007.75 × 85,007.75
  4. Step 4: Simplify right side
    39,241x = 7,226,317,560.06
  5. Step 5: Solve for x
    x = 7,226,317,560.06/39,241
  6. Step 6: Final answer
    x = 184,152.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.