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Finding the Third Proportional to 36,720 and 80,476

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Solution

The third proportional to 36,720 and 80,476 is: 176,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 80,476 = 80,476 : x
  2. Step 2: Convert to fraction form
    36,720/80,476 = 80,476/x
  3. Step 3: Cross multiply
    36,720x = 80,476 × 80,476
  4. Step 4: Simplify right side
    36,720x = 6,476,386,576
  5. Step 5: Solve for x
    x = 6,476,386,576/36,720
  6. Step 6: Final answer
    x = 176,372.18

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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.