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Finding the Third Proportional to 7,881.82 and 16,493.91

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Solution

The third proportional to 7,881.82 and 16,493.91 is: 34,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.82 : 16,493.91 = 16,493.91 : x
  2. Step 2: Convert to fraction form
    7,881.82/16,493.91 = 16,493.91/x
  3. Step 3: Cross multiply
    7,881.82x = 16,493.91 × 16,493.91
  4. Step 4: Simplify right side
    7,881.82x = 272,048,943.38
  5. Step 5: Solve for x
    x = 272,048,943.38/7,881.82
  6. Step 6: Final answer
    x = 34,516.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.