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Finding the Third Proportional to 53.44 and 75.78

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Solution

The third proportional to 53.44 and 75.78 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 75.78 = 75.78 : x
  2. Step 2: Convert to fraction form
    53.44/75.78 = 75.78/x
  3. Step 3: Cross multiply
    53.44x = 75.78 × 75.78
  4. Step 4: Simplify right side
    53.44x = 5,742.80
  5. Step 5: Solve for x
    x = 5,742.80/53.44
  6. Step 6: Final answer
    x = 107.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.