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Finding the Third Proportional to 28,182 and 43,887

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Solution

The third proportional to 28,182 and 43,887 is: 68,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182 : 43,887 = 43,887 : x
  2. Step 2: Convert to fraction form
    28,182/43,887 = 43,887/x
  3. Step 3: Cross multiply
    28,182x = 43,887 × 43,887
  4. Step 4: Simplify right side
    28,182x = 1,926,068,769
  5. Step 5: Solve for x
    x = 1,926,068,769/28,182
  6. Step 6: Final answer
    x = 68,343.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.