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Finding the Third Proportional to 37,477 and 79,810

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Solution

The third proportional to 37,477 and 79,810 is: 169,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477 : 79,810 = 79,810 : x
  2. Step 2: Convert to fraction form
    37,477/79,810 = 79,810/x
  3. Step 3: Cross multiply
    37,477x = 79,810 × 79,810
  4. Step 4: Simplify right side
    37,477x = 6,369,636,100
  5. Step 5: Solve for x
    x = 6,369,636,100/37,477
  6. Step 6: Final answer
    x = 169,961.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.