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Finding the Third Proportional to 37.02 and 56.95

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Solution

The third proportional to 37.02 and 56.95 is: 87.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 56.95 = 56.95 : x
  2. Step 2: Convert to fraction form
    37.02/56.95 = 56.95/x
  3. Step 3: Cross multiply
    37.02x = 56.95 × 56.95
  4. Step 4: Simplify right side
    37.02x = 3,243.66
  5. Step 5: Solve for x
    x = 3,243.66/37.02
  6. Step 6: Final answer
    x = 87.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.