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Finding the Third Proportional to 48.13 and 53.75

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Solution

The third proportional to 48.13 and 53.75 is: 60.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.13 : 53.75 = 53.75 : x
  2. Step 2: Convert to fraction form
    48.13/53.75 = 53.75/x
  3. Step 3: Cross multiply
    48.13x = 53.75 × 53.75
  4. Step 4: Simplify right side
    48.13x = 2,889.06
  5. Step 5: Solve for x
    x = 2,889.06/48.13
  6. Step 6: Final answer
    x = 60.03

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.