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Finding the Third Proportional to 38,293.50 and 84,039

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Solution

The third proportional to 38,293.50 and 84,039 is: 184,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.50 : 84,039 = 84,039 : x
  2. Step 2: Convert to fraction form
    38,293.50/84,039 = 84,039/x
  3. Step 3: Cross multiply
    38,293.50x = 84,039 × 84,039
  4. Step 4: Simplify right side
    38,293.50x = 7,062,553,521
  5. Step 5: Solve for x
    x = 7,062,553,521/38,293.50
  6. Step 6: Final answer
    x = 184,432.18

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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.