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Finding the Third Proportional to 4.30 and 5.76

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Solution

The third proportional to 4.30 and 5.76 is: 7.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.30 : 5.76 = 5.76 : x
  2. Step 2: Convert to fraction form
    4.30/5.76 = 5.76/x
  3. Step 3: Cross multiply
    4.30x = 5.76 × 5.76
  4. Step 4: Simplify right side
    4.30x = 33.14
  5. Step 5: Solve for x
    x = 33.14/4.30
  6. Step 6: Final answer
    x = 7.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.