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Finding the Third Proportional to 10.10 and 20.93

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Solution

The third proportional to 10.10 and 20.93 is: 43.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.10 : 20.93 = 20.93 : x
  2. Step 2: Convert to fraction form
    10.10/20.93 = 20.93/x
  3. Step 3: Cross multiply
    10.10x = 20.93 × 20.93
  4. Step 4: Simplify right side
    10.10x = 437.95
  5. Step 5: Solve for x
    x = 437.95/10.10
  6. Step 6: Final answer
    x = 43.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.