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Finding the Third Proportional to 31.19 and 44.53

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Solution

The third proportional to 31.19 and 44.53 is: 63.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.19 : 44.53 = 44.53 : x
  2. Step 2: Convert to fraction form
    31.19/44.53 = 44.53/x
  3. Step 3: Cross multiply
    31.19x = 44.53 × 44.53
  4. Step 4: Simplify right side
    31.19x = 1,983.03
  5. Step 5: Solve for x
    x = 1,983.03/31.19
  6. Step 6: Final answer
    x = 63.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.