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Finding the Third Proportional to 28.50 and 62.06

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Solution

The third proportional to 28.50 and 62.06 is: 135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.50 : 62.06 = 62.06 : x
  2. Step 2: Convert to fraction form
    28.50/62.06 = 62.06/x
  3. Step 3: Cross multiply
    28.50x = 62.06 × 62.06
  4. Step 4: Simplify right side
    28.50x = 3,851.75
  5. Step 5: Solve for x
    x = 3,851.75/28.50
  6. Step 6: Final answer
    x = 135.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.