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Finding the Third Proportional to 36,886 and 55,365

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Solution

The third proportional to 36,886 and 55,365 is: 83,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886 : 55,365 = 55,365 : x
  2. Step 2: Convert to fraction form
    36,886/55,365 = 55,365/x
  3. Step 3: Cross multiply
    36,886x = 55,365 × 55,365
  4. Step 4: Simplify right side
    36,886x = 3,065,283,225
  5. Step 5: Solve for x
    x = 3,065,283,225/36,886
  6. Step 6: Final answer
    x = 83,101.54

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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.