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Finding the Third Proportional to 36,769 and 77,871.50

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Solution

The third proportional to 36,769 and 77,871.50 is: 164,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769 : 77,871.50 = 77,871.50 : x
  2. Step 2: Convert to fraction form
    36,769/77,871.50 = 77,871.50/x
  3. Step 3: Cross multiply
    36,769x = 77,871.50 × 77,871.50
  4. Step 4: Simplify right side
    36,769x = 6,063,970,512.25
  5. Step 5: Solve for x
    x = 6,063,970,512.25/36,769
  6. Step 6: Final answer
    x = 164,920.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.