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Finding the Third Proportional to 2.34 and 4.88

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Solution

The third proportional to 2.34 and 4.88 is: 10.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.34 : 4.88 = 4.88 : x
  2. Step 2: Convert to fraction form
    2.34/4.88 = 4.88/x
  3. Step 3: Cross multiply
    2.34x = 4.88 × 4.88
  4. Step 4: Simplify right side
    2.34x = 23.77
  5. Step 5: Solve for x
    x = 23.77/2.34
  6. Step 6: Final answer
    x = 10.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.