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Finding the Third Proportional to 26.86 and 58.08

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Solution

The third proportional to 26.86 and 58.08 is: 125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.86 : 58.08 = 58.08 : x
  2. Step 2: Convert to fraction form
    26.86/58.08 = 58.08/x
  3. Step 3: Cross multiply
    26.86x = 58.08 × 58.08
  4. Step 4: Simplify right side
    26.86x = 3,373.07
  5. Step 5: Solve for x
    x = 3,373.07/26.86
  6. Step 6: Final answer
    x = 125.58

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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.