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Finding the Third Proportional to 2.13 and 5.00

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Solution

The third proportional to 2.13 and 5.00 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 5.00 = 5.00 : x
  2. Step 2: Convert to fraction form
    2.13/5.00 = 5.00/x
  3. Step 3: Cross multiply
    2.13x = 5.00 × 5.00
  4. Step 4: Simplify right side
    2.13x = 25.05
  5. Step 5: Solve for x
    x = 25.05/2.13
  6. Step 6: Final answer
    x = 11.75

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.