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Finding the Third Proportional to 28,990 and 59,843

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Solution

The third proportional to 28,990 and 59,843 is: 123,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,990 : 59,843 = 59,843 : x
  2. Step 2: Convert to fraction form
    28,990/59,843 = 59,843/x
  3. Step 3: Cross multiply
    28,990x = 59,843 × 59,843
  4. Step 4: Simplify right side
    28,990x = 3,581,184,649
  5. Step 5: Solve for x
    x = 3,581,184,649/28,990
  6. Step 6: Final answer
    x = 123,531.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.