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Finding the Third Proportional to 37.19 and 58.88

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Solution

The third proportional to 37.19 and 58.88 is: 93.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.19 : 58.88 = 58.88 : x
  2. Step 2: Convert to fraction form
    37.19/58.88 = 58.88/x
  3. Step 3: Cross multiply
    37.19x = 58.88 × 58.88
  4. Step 4: Simplify right side
    37.19x = 3,466.27
  5. Step 5: Solve for x
    x = 3,466.27/37.19
  6. Step 6: Final answer
    x = 93.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.