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Finding the Third Proportional to 37,545 and 81,579

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Solution

The third proportional to 37,545 and 81,579 is: 177,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545 : 81,579 = 81,579 : x
  2. Step 2: Convert to fraction form
    37,545/81,579 = 81,579/x
  3. Step 3: Cross multiply
    37,545x = 81,579 × 81,579
  4. Step 4: Simplify right side
    37,545x = 6,655,133,241
  5. Step 5: Solve for x
    x = 6,655,133,241/37,545
  6. Step 6: Final answer
    x = 177,257.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.