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Finding the Third Proportional to 36,387 and 79,701

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Solution

The third proportional to 36,387 and 79,701 is: 174,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,387 : 79,701 = 79,701 : x
  2. Step 2: Convert to fraction form
    36,387/79,701 = 79,701/x
  3. Step 3: Cross multiply
    36,387x = 79,701 × 79,701
  4. Step 4: Simplify right side
    36,387x = 6,352,249,401
  5. Step 5: Solve for x
    x = 6,352,249,401/36,387
  6. Step 6: Final answer
    x = 174,574.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.