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Finding the Third Proportional to 2.33 and 5.10

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Solution

The third proportional to 2.33 and 5.10 is: 11.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.33 : 5.10 = 5.10 : x
  2. Step 2: Convert to fraction form
    2.33/5.10 = 5.10/x
  3. Step 3: Cross multiply
    2.33x = 5.10 × 5.10
  4. Step 4: Simplify right side
    2.33x = 26.03
  5. Step 5: Solve for x
    x = 26.03/2.33
  6. Step 6: Final answer
    x = 11.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.