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Finding the Third Proportional to 36,140 and 55,619

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Solution

The third proportional to 36,140 and 55,619 is: 85,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,140 : 55,619 = 55,619 : x
  2. Step 2: Convert to fraction form
    36,140/55,619 = 55,619/x
  3. Step 3: Cross multiply
    36,140x = 55,619 × 55,619
  4. Step 4: Simplify right side
    36,140x = 3,093,473,161
  5. Step 5: Solve for x
    x = 3,093,473,161/36,140
  6. Step 6: Final answer
    x = 85,596.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.