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Finding the Third Proportional to 31.50 and 46.13

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Solution

The third proportional to 31.50 and 46.13 is: 67.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 46.13 = 46.13 : x
  2. Step 2: Convert to fraction form
    31.50/46.13 = 46.13/x
  3. Step 3: Cross multiply
    31.50x = 46.13 × 46.13
  4. Step 4: Simplify right side
    31.50x = 2,127.52
  5. Step 5: Solve for x
    x = 2,127.52/31.50
  6. Step 6: Final answer
    x = 67.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.