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Finding the Third Proportional to 37,886 and 56,829

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Solution

The third proportional to 37,886 and 56,829 is: 85,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,886 : 56,829 = 56,829 : x
  2. Step 2: Convert to fraction form
    37,886/56,829 = 56,829/x
  3. Step 3: Cross multiply
    37,886x = 56,829 × 56,829
  4. Step 4: Simplify right side
    37,886x = 3,229,535,241
  5. Step 5: Solve for x
    x = 3,229,535,241/37,886
  6. Step 6: Final answer
    x = 85,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.