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Finding the Third Proportional to 39,027.50 and 92,098

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Solution

The third proportional to 39,027.50 and 92,098 is: 217,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027.50 : 92,098 = 92,098 : x
  2. Step 2: Convert to fraction form
    39,027.50/92,098 = 92,098/x
  3. Step 3: Cross multiply
    39,027.50x = 92,098 × 92,098
  4. Step 4: Simplify right side
    39,027.50x = 8,482,041,604
  5. Step 5: Solve for x
    x = 8,482,041,604/39,027.50
  6. Step 6: Final answer
    x = 217,335.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.