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Finding the Third Proportional to 23.04 and 33.76

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Solution

The third proportional to 23.04 and 33.76 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 33.76 = 33.76 : x
  2. Step 2: Convert to fraction form
    23.04/33.76 = 33.76/x
  3. Step 3: Cross multiply
    23.04x = 33.76 × 33.76
  4. Step 4: Simplify right side
    23.04x = 1,139.51
  5. Step 5: Solve for x
    x = 1,139.51/23.04
  6. Step 6: Final answer
    x = 49.46

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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.