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Finding the Third Proportional to 14.50 and 26.06

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Solution

The third proportional to 14.50 and 26.06 is: 46.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.50 : 26.06 = 26.06 : x
  2. Step 2: Convert to fraction form
    14.50/26.06 = 26.06/x
  3. Step 3: Cross multiply
    14.50x = 26.06 × 26.06
  4. Step 4: Simplify right side
    14.50x = 679.25
  5. Step 5: Solve for x
    x = 679.25/14.50
  6. Step 6: Final answer
    x = 46.85

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.