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Finding the Third Proportional to 36,374.50 and 54,886

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Solution

The third proportional to 36,374.50 and 54,886 is: 82,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,374.50 : 54,886 = 54,886 : x
  2. Step 2: Convert to fraction form
    36,374.50/54,886 = 54,886/x
  3. Step 3: Cross multiply
    36,374.50x = 54,886 × 54,886
  4. Step 4: Simplify right side
    36,374.50x = 3,012,472,996
  5. Step 5: Solve for x
    x = 3,012,472,996/36,374.50
  6. Step 6: Final answer
    x = 82,818.27

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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.