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Finding the Third Proportional to 36,897.32 and 78,923.90

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Solution

The third proportional to 36,897.32 and 78,923.90 is: 168,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,897.32 : 78,923.90 = 78,923.90 : x
  2. Step 2: Convert to fraction form
    36,897.32/78,923.90 = 78,923.90/x
  3. Step 3: Cross multiply
    36,897.32x = 78,923.90 × 78,923.90
  4. Step 4: Simplify right side
    36,897.32x = 6,228,982,052.87
  5. Step 5: Solve for x
    x = 6,228,982,052.87/36,897.32
  6. Step 6: Final answer
    x = 168,819.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.