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Finding the Third Proportional to 26.35 and 38.52

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Solution

The third proportional to 26.35 and 38.52 is: 56.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.35 : 38.52 = 38.52 : x
  2. Step 2: Convert to fraction form
    26.35/38.52 = 38.52/x
  3. Step 3: Cross multiply
    26.35x = 38.52 × 38.52
  4. Step 4: Simplify right side
    26.35x = 1,483.67
  5. Step 5: Solve for x
    x = 1,483.67/26.35
  6. Step 6: Final answer
    x = 56.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.