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Finding the Third Proportional to 26.58 and 56.32

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Solution

The third proportional to 26.58 and 56.32 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.58 : 56.32 = 56.32 : x
  2. Step 2: Convert to fraction form
    26.58/56.32 = 56.32/x
  3. Step 3: Cross multiply
    26.58x = 56.32 × 56.32
  4. Step 4: Simplify right side
    26.58x = 3,171.98
  5. Step 5: Solve for x
    x = 3,171.98/26.58
  6. Step 6: Final answer
    x = 119.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.