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Finding the Third Proportional to 26.16 and 56.30

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Solution

The third proportional to 26.16 and 56.30 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 56.30 = 56.30 : x
  2. Step 2: Convert to fraction form
    26.16/56.30 = 56.30/x
  3. Step 3: Cross multiply
    26.16x = 56.30 × 56.30
  4. Step 4: Simplify right side
    26.16x = 3,169.34
  5. Step 5: Solve for x
    x = 3,169.34/26.16
  6. Step 6: Final answer
    x = 121.17

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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.