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Finding the Third Proportional to 37,720.50 and 82,695

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Solution

The third proportional to 37,720.50 and 82,695 is: 181,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720.50 : 82,695 = 82,695 : x
  2. Step 2: Convert to fraction form
    37,720.50/82,695 = 82,695/x
  3. Step 3: Cross multiply
    37,720.50x = 82,695 × 82,695
  4. Step 4: Simplify right side
    37,720.50x = 6,838,463,025
  5. Step 5: Solve for x
    x = 6,838,463,025/37,720.50
  6. Step 6: Final answer
    x = 181,293.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.