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Finding the Third Proportional to 4.10 and 5.93

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Solution

The third proportional to 4.10 and 5.93 is: 8.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.10 : 5.93 = 5.93 : x
  2. Step 2: Convert to fraction form
    4.10/5.93 = 5.93/x
  3. Step 3: Cross multiply
    4.10x = 5.93 × 5.93
  4. Step 4: Simplify right side
    4.10x = 35.18
  5. Step 5: Solve for x
    x = 35.18/4.10
  6. Step 6: Final answer
    x = 8.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.