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Finding the Third Proportional to 35.30 and 52.98

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Solution

The third proportional to 35.30 and 52.98 is: 79.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.30 : 52.98 = 52.98 : x
  2. Step 2: Convert to fraction form
    35.30/52.98 = 52.98/x
  3. Step 3: Cross multiply
    35.30x = 52.98 × 52.98
  4. Step 4: Simplify right side
    35.30x = 2,806.93
  5. Step 5: Solve for x
    x = 2,806.93/35.30
  6. Step 6: Final answer
    x = 79.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.