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Finding the Third Proportional to 35.28 and 55.30

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Solution

The third proportional to 35.28 and 55.30 is: 86.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.28 : 55.30 = 55.30 : x
  2. Step 2: Convert to fraction form
    35.28/55.30 = 55.30/x
  3. Step 3: Cross multiply
    35.28x = 55.30 × 55.30
  4. Step 4: Simplify right side
    35.28x = 3,057.74
  5. Step 5: Solve for x
    x = 3,057.74/35.28
  6. Step 6: Final answer
    x = 86.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.