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Finding the Third Proportional to 36,708 and 81,001.50

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Solution

The third proportional to 36,708 and 81,001.50 is: 178,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,708 : 81,001.50 = 81,001.50 : x
  2. Step 2: Convert to fraction form
    36,708/81,001.50 = 81,001.50/x
  3. Step 3: Cross multiply
    36,708x = 81,001.50 × 81,001.50
  4. Step 4: Simplify right side
    36,708x = 6,561,243,002.25
  5. Step 5: Solve for x
    x = 6,561,243,002.25/36,708
  6. Step 6: Final answer
    x = 178,741.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.