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Finding the Third Proportional to 36,968 and 54,478

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Solution

The third proportional to 36,968 and 54,478 is: 80,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 54,478 = 54,478 : x
  2. Step 2: Convert to fraction form
    36,968/54,478 = 54,478/x
  3. Step 3: Cross multiply
    36,968x = 54,478 × 54,478
  4. Step 4: Simplify right side
    36,968x = 2,967,852,484
  5. Step 5: Solve for x
    x = 2,967,852,484/36,968
  6. Step 6: Final answer
    x = 80,281.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.