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Finding the Third Proportional to 37,911 and 82,545

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Solution

The third proportional to 37,911 and 82,545 is: 179,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,911 : 82,545 = 82,545 : x
  2. Step 2: Convert to fraction form
    37,911/82,545 = 82,545/x
  3. Step 3: Cross multiply
    37,911x = 82,545 × 82,545
  4. Step 4: Simplify right side
    37,911x = 6,813,677,025
  5. Step 5: Solve for x
    x = 6,813,677,025/37,911
  6. Step 6: Final answer
    x = 179,728.23

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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.