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Finding the Third Proportional to 39.84 and 56.16

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Solution

The third proportional to 39.84 and 56.16 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.84 : 56.16 = 56.16 : x
  2. Step 2: Convert to fraction form
    39.84/56.16 = 56.16/x
  3. Step 3: Cross multiply
    39.84x = 56.16 × 56.16
  4. Step 4: Simplify right side
    39.84x = 3,153.52
  5. Step 5: Solve for x
    x = 3,153.52/39.84
  6. Step 6: Final answer
    x = 79.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.