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Finding the Third Proportional to 39,319.50 and 85,551

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Solution

The third proportional to 39,319.50 and 85,551 is: 186,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,319.50 : 85,551 = 85,551 : x
  2. Step 2: Convert to fraction form
    39,319.50/85,551 = 85,551/x
  3. Step 3: Cross multiply
    39,319.50x = 85,551 × 85,551
  4. Step 4: Simplify right side
    39,319.50x = 7,318,973,601
  5. Step 5: Solve for x
    x = 7,318,973,601/39,319.50
  6. Step 6: Final answer
    x = 186,141.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.