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Finding the Third Proportional to 35 and 51.63

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Solution

The third proportional to 35 and 51.63 is: 76.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35 : 51.63 = 51.63 : x
  2. Step 2: Convert to fraction form
    35/51.63 = 51.63/x
  3. Step 3: Cross multiply
    35x = 51.63 × 51.63
  4. Step 4: Simplify right side
    35x = 2,665.14
  5. Step 5: Solve for x
    x = 2,665.14/35
  6. Step 6: Final answer
    x = 76.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.