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Finding the Third Proportional to 8,931.66 and 19,092.94

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Solution

The third proportional to 8,931.66 and 19,092.94 is: 40,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.66 : 19,092.94 = 19,092.94 : x
  2. Step 2: Convert to fraction form
    8,931.66/19,092.94 = 19,092.94/x
  3. Step 3: Cross multiply
    8,931.66x = 19,092.94 × 19,092.94
  4. Step 4: Simplify right side
    8,931.66x = 364,540,262.38
  5. Step 5: Solve for x
    x = 364,540,262.38/8,931.66
  6. Step 6: Final answer
    x = 40,814.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.