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Finding the Third Proportional to 36,780 and 80,574

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Solution

The third proportional to 36,780 and 80,574 is: 176,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 80,574 = 80,574 : x
  2. Step 2: Convert to fraction form
    36,780/80,574 = 80,574/x
  3. Step 3: Cross multiply
    36,780x = 80,574 × 80,574
  4. Step 4: Simplify right side
    36,780x = 6,492,169,476
  5. Step 5: Solve for x
    x = 6,492,169,476/36,780
  6. Step 6: Final answer
    x = 176,513.58

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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.