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Finding the Third Proportional to 35.63 and 79.28

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Solution

The third proportional to 35.63 and 79.28 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.63 : 79.28 = 79.28 : x
  2. Step 2: Convert to fraction form
    35.63/79.28 = 79.28/x
  3. Step 3: Cross multiply
    35.63x = 79.28 × 79.28
  4. Step 4: Simplify right side
    35.63x = 6,284.76
  5. Step 5: Solve for x
    x = 6,284.76/35.63
  6. Step 6: Final answer
    x = 176.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.