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Finding the Third Proportional to 5.13 and 7.63

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Solution

The third proportional to 5.13 and 7.63 is: 11.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.13 : 7.63 = 7.63 : x
  2. Step 2: Convert to fraction form
    5.13/7.63 = 7.63/x
  3. Step 3: Cross multiply
    5.13x = 7.63 × 7.63
  4. Step 4: Simplify right side
    5.13x = 58.14
  5. Step 5: Solve for x
    x = 58.14/5.13
  6. Step 6: Final answer
    x = 11.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.