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Finding the Third Proportional to 37,655.25 and 81,140.25

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Solution

The third proportional to 37,655.25 and 81,140.25 is: 174,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,655.25 : 81,140.25 = 81,140.25 : x
  2. Step 2: Convert to fraction form
    37,655.25/81,140.25 = 81,140.25/x
  3. Step 3: Cross multiply
    37,655.25x = 81,140.25 × 81,140.25
  4. Step 4: Simplify right side
    37,655.25x = 6,583,740,170.06
  5. Step 5: Solve for x
    x = 6,583,740,170.06/37,655.25
  6. Step 6: Final answer
    x = 174,842.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.