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Finding the Third Proportional to 15.84 and 37.36

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Solution

The third proportional to 15.84 and 37.36 is: 88.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.84 : 37.36 = 37.36 : x
  2. Step 2: Convert to fraction form
    15.84/37.36 = 37.36/x
  3. Step 3: Cross multiply
    15.84x = 37.36 × 37.36
  4. Step 4: Simplify right side
    15.84x = 1,395.72
  5. Step 5: Solve for x
    x = 1,395.72/15.84
  6. Step 6: Final answer
    x = 88.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.