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Finding the Third Proportional to 15.74 and 23.02

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Solution

The third proportional to 15.74 and 23.02 is: 33.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.74 : 23.02 = 23.02 : x
  2. Step 2: Convert to fraction form
    15.74/23.02 = 23.02/x
  3. Step 3: Cross multiply
    15.74x = 23.02 × 23.02
  4. Step 4: Simplify right side
    15.74x = 530.10
  5. Step 5: Solve for x
    x = 530.10/15.74
  6. Step 6: Final answer
    x = 33.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.