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Finding the Third Proportional to 26.64 and 57.35

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Solution

The third proportional to 26.64 and 57.35 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.64 : 57.35 = 57.35 : x
  2. Step 2: Convert to fraction form
    26.64/57.35 = 57.35/x
  3. Step 3: Cross multiply
    26.64x = 57.35 × 57.35
  4. Step 4: Simplify right side
    26.64x = 3,289.20
  5. Step 5: Solve for x
    x = 3,289.20/26.64
  6. Step 6: Final answer
    x = 123.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.