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Finding the Third Proportional to 10.46 and 26.81

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Solution

The third proportional to 10.46 and 26.81 is: 68.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.46 : 26.81 = 26.81 : x
  2. Step 2: Convert to fraction form
    10.46/26.81 = 26.81/x
  3. Step 3: Cross multiply
    10.46x = 26.81 × 26.81
  4. Step 4: Simplify right side
    10.46x = 718.69
  5. Step 5: Solve for x
    x = 718.69/10.46
  6. Step 6: Final answer
    x = 68.74

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.