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Finding the Third Proportional to 26.34 and 41.72

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Solution

The third proportional to 26.34 and 41.72 is: 66.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.34 : 41.72 = 41.72 : x
  2. Step 2: Convert to fraction form
    26.34/41.72 = 41.72/x
  3. Step 3: Cross multiply
    26.34x = 41.72 × 41.72
  4. Step 4: Simplify right side
    26.34x = 1,740.45
  5. Step 5: Solve for x
    x = 1,740.45/26.34
  6. Step 6: Final answer
    x = 66.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.