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Finding the Third Proportional to 23.65 and 51.07

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Solution

The third proportional to 23.65 and 51.07 is: 110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.65 : 51.07 = 51.07 : x
  2. Step 2: Convert to fraction form
    23.65/51.07 = 51.07/x
  3. Step 3: Cross multiply
    23.65x = 51.07 × 51.07
  4. Step 4: Simplify right side
    23.65x = 2,608.18
  5. Step 5: Solve for x
    x = 2,608.18/23.65
  6. Step 6: Final answer
    x = 110.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.