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Finding the Third Proportional to 39,163.50 and 63,058.50

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Solution

The third proportional to 39,163.50 and 63,058.50 is: 101,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,163.50 : 63,058.50 = 63,058.50 : x
  2. Step 2: Convert to fraction form
    39,163.50/63,058.50 = 63,058.50/x
  3. Step 3: Cross multiply
    39,163.50x = 63,058.50 × 63,058.50
  4. Step 4: Simplify right side
    39,163.50x = 3,976,374,422.25
  5. Step 5: Solve for x
    x = 3,976,374,422.25/39,163.50
  6. Step 6: Final answer
    x = 101,532.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.