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Finding the Third Proportional to 37.50 and 55.15

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Solution

The third proportional to 37.50 and 55.15 is: 81.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.50 : 55.15 = 55.15 : x
  2. Step 2: Convert to fraction form
    37.50/55.15 = 55.15/x
  3. Step 3: Cross multiply
    37.50x = 55.15 × 55.15
  4. Step 4: Simplify right side
    37.50x = 3,041.35
  5. Step 5: Solve for x
    x = 3,041.35/37.50
  6. Step 6: Final answer
    x = 81.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.