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Finding the Third Proportional to 36,978.19 and 43,232.06

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Solution

The third proportional to 36,978.19 and 43,232.06 is: 50,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.19 : 43,232.06 = 43,232.06 : x
  2. Step 2: Convert to fraction form
    36,978.19/43,232.06 = 43,232.06/x
  3. Step 3: Cross multiply
    36,978.19x = 43,232.06 × 43,232.06
  4. Step 4: Simplify right side
    36,978.19x = 1,869,011,228.00
  5. Step 5: Solve for x
    x = 1,869,011,228.00/36,978.19
  6. Step 6: Final answer
    x = 50,543.61

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.