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Finding the Third Proportional to 43,035 and 61,983

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Solution

The third proportional to 43,035 and 61,983 is: 89,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,035 : 61,983 = 61,983 : x
  2. Step 2: Convert to fraction form
    43,035/61,983 = 61,983/x
  3. Step 3: Cross multiply
    43,035x = 61,983 × 61,983
  4. Step 4: Simplify right side
    43,035x = 3,841,892,289
  5. Step 5: Solve for x
    x = 3,841,892,289/43,035
  6. Step 6: Final answer
    x = 89,273.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.