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Finding the Third Proportional to 37,439 and 81,787

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Solution

The third proportional to 37,439 and 81,787 is: 178,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439 : 81,787 = 81,787 : x
  2. Step 2: Convert to fraction form
    37,439/81,787 = 81,787/x
  3. Step 3: Cross multiply
    37,439x = 81,787 × 81,787
  4. Step 4: Simplify right side
    37,439x = 6,689,113,369
  5. Step 5: Solve for x
    x = 6,689,113,369/37,439
  6. Step 6: Final answer
    x = 178,666.99

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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.