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Finding the Third Proportional to 15,072 and 33,216

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Solution

The third proportional to 15,072 and 33,216 is: 73,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 33,216 = 33,216 : x
  2. Step 2: Convert to fraction form
    15,072/33,216 = 33,216/x
  3. Step 3: Cross multiply
    15,072x = 33,216 × 33,216
  4. Step 4: Simplify right side
    15,072x = 1,103,302,656
  5. Step 5: Solve for x
    x = 1,103,302,656/15,072
  6. Step 6: Final answer
    x = 73,202.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.