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Finding the Third Proportional to 36,224 and 56,448

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Solution

The third proportional to 36,224 and 56,448 is: 87,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,224 : 56,448 = 56,448 : x
  2. Step 2: Convert to fraction form
    36,224/56,448 = 56,448/x
  3. Step 3: Cross multiply
    36,224x = 56,448 × 56,448
  4. Step 4: Simplify right side
    36,224x = 3,186,376,704
  5. Step 5: Solve for x
    x = 3,186,376,704/36,224
  6. Step 6: Final answer
    x = 87,963.14

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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.