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Finding the Third Proportional to 37.10 and 51.36

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Solution

The third proportional to 37.10 and 51.36 is: 71.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.10 : 51.36 = 51.36 : x
  2. Step 2: Convert to fraction form
    37.10/51.36 = 51.36/x
  3. Step 3: Cross multiply
    37.10x = 51.36 × 51.36
  4. Step 4: Simplify right side
    37.10x = 2,638.36
  5. Step 5: Solve for x
    x = 2,638.36/37.10
  6. Step 6: Final answer
    x = 71.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.