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Finding the Third Proportional to 10.58 and 23.16

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Solution

The third proportional to 10.58 and 23.16 is: 50.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.58 : 23.16 = 23.16 : x
  2. Step 2: Convert to fraction form
    10.58/23.16 = 23.16/x
  3. Step 3: Cross multiply
    10.58x = 23.16 × 23.16
  4. Step 4: Simplify right side
    10.58x = 536.36
  5. Step 5: Solve for x
    x = 536.36/10.58
  6. Step 6: Final answer
    x = 50.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.