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Finding the Third Proportional to 37.51 and 56.27

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Solution

The third proportional to 37.51 and 56.27 is: 84.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.51 : 56.27 = 56.27 : x
  2. Step 2: Convert to fraction form
    37.51/56.27 = 56.27/x
  3. Step 3: Cross multiply
    37.51x = 56.27 × 56.27
  4. Step 4: Simplify right side
    37.51x = 3,166.04
  5. Step 5: Solve for x
    x = 3,166.04/37.51
  6. Step 6: Final answer
    x = 84.40

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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.