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Finding the Third Proportional to 39,821.06 and 60,039

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Solution

The third proportional to 39,821.06 and 60,039 is: 90,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,821.06 : 60,039 = 60,039 : x
  2. Step 2: Convert to fraction form
    39,821.06/60,039 = 60,039/x
  3. Step 3: Cross multiply
    39,821.06x = 60,039 × 60,039
  4. Step 4: Simplify right side
    39,821.06x = 3,604,681,521
  5. Step 5: Solve for x
    x = 3,604,681,521/39,821.06
  6. Step 6: Final answer
    x = 90,521.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.