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Finding the Third Proportional to 36,228 and 56,454

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Solution

The third proportional to 36,228 and 56,454 is: 87,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,228 : 56,454 = 56,454 : x
  2. Step 2: Convert to fraction form
    36,228/56,454 = 56,454/x
  3. Step 3: Cross multiply
    36,228x = 56,454 × 56,454
  4. Step 4: Simplify right side
    36,228x = 3,187,054,116
  5. Step 5: Solve for x
    x = 3,187,054,116/36,228
  6. Step 6: Final answer
    x = 87,972.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.