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Finding the Third Proportional to 26.10 and 56.48

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Solution

The third proportional to 26.10 and 56.48 is: 122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.10 : 56.48 = 56.48 : x
  2. Step 2: Convert to fraction form
    26.10/56.48 = 56.48/x
  3. Step 3: Cross multiply
    26.10x = 56.48 × 56.48
  4. Step 4: Simplify right side
    26.10x = 3,189.82
  5. Step 5: Solve for x
    x = 3,189.82/26.10
  6. Step 6: Final answer
    x = 122.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.