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Finding the Third Proportional to 37,410.75 and 81,369

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Solution

The third proportional to 37,410.75 and 81,369 is: 176,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,410.75 : 81,369 = 81,369 : x
  2. Step 2: Convert to fraction form
    37,410.75/81,369 = 81,369/x
  3. Step 3: Cross multiply
    37,410.75x = 81,369 × 81,369
  4. Step 4: Simplify right side
    37,410.75x = 6,620,914,161
  5. Step 5: Solve for x
    x = 6,620,914,161/37,410.75
  6. Step 6: Final answer
    x = 176,978.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.