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Finding the Third Proportional to 6.04 and 9.30

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Solution

The third proportional to 6.04 and 9.30 is: 14.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.04 : 9.30 = 9.30 : x
  2. Step 2: Convert to fraction form
    6.04/9.30 = 9.30/x
  3. Step 3: Cross multiply
    6.04x = 9.30 × 9.30
  4. Step 4: Simplify right side
    6.04x = 86.55
  5. Step 5: Solve for x
    x = 86.55/6.04
  6. Step 6: Final answer
    x = 14.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.