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Finding the Third Proportional to 23.70 and 52.07

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Solution

The third proportional to 23.70 and 52.07 is: 114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.70 : 52.07 = 52.07 : x
  2. Step 2: Convert to fraction form
    23.70/52.07 = 52.07/x
  3. Step 3: Cross multiply
    23.70x = 52.07 × 52.07
  4. Step 4: Simplify right side
    23.70x = 2,711.01
  5. Step 5: Solve for x
    x = 2,711.01/23.70
  6. Step 6: Final answer
    x = 114.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.