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Finding the Third Proportional to 48.23 and 71.02

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Solution

The third proportional to 48.23 and 71.02 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.23 : 71.02 = 71.02 : x
  2. Step 2: Convert to fraction form
    48.23/71.02 = 71.02/x
  3. Step 3: Cross multiply
    48.23x = 71.02 × 71.02
  4. Step 4: Simplify right side
    48.23x = 5,043.22
  5. Step 5: Solve for x
    x = 5,043.22/48.23
  6. Step 6: Final answer
    x = 104.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.