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Finding the Third Proportional to 39,858 and 59,881.50

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Solution

The third proportional to 39,858 and 59,881.50 is: 89,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858 : 59,881.50 = 59,881.50 : x
  2. Step 2: Convert to fraction form
    39,858/59,881.50 = 59,881.50/x
  3. Step 3: Cross multiply
    39,858x = 59,881.50 × 59,881.50
  4. Step 4: Simplify right side
    39,858x = 3,585,794,042.25
  5. Step 5: Solve for x
    x = 3,585,794,042.25/39,858
  6. Step 6: Final answer
    x = 89,964.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.