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Finding the Third Proportional to 7,961.63 and 17,220.94

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Solution

The third proportional to 7,961.63 and 17,220.94 is: 37,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.63 : 17,220.94 = 17,220.94 : x
  2. Step 2: Convert to fraction form
    7,961.63/17,220.94 = 17,220.94/x
  3. Step 3: Cross multiply
    7,961.63x = 17,220.94 × 17,220.94
  4. Step 4: Simplify right side
    7,961.63x = 296,560,688.38
  5. Step 5: Solve for x
    x = 296,560,688.38/7,961.63
  6. Step 6: Final answer
    x = 37,248.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.