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Finding the Third Proportional to 53.44 and 115.03

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Solution

The third proportional to 53.44 and 115.03 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.44 : 115.03 = 115.03 : x
  2. Step 2: Convert to fraction form
    53.44/115.03 = 115.03/x
  3. Step 3: Cross multiply
    53.44x = 115.03 × 115.03
  4. Step 4: Simplify right side
    53.44x = 13,232.19
  5. Step 5: Solve for x
    x = 13,232.19/53.44
  6. Step 6: Final answer
    x = 247.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.