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Finding the Third Proportional to 8,274.66 and 17,733.94

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Solution

The third proportional to 8,274.66 and 17,733.94 is: 38,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.66 : 17,733.94 = 17,733.94 : x
  2. Step 2: Convert to fraction form
    8,274.66/17,733.94 = 17,733.94/x
  3. Step 3: Cross multiply
    8,274.66x = 17,733.94 × 17,733.94
  4. Step 4: Simplify right side
    8,274.66x = 314,492,539.25
  5. Step 5: Solve for x
    x = 314,492,539.25/8,274.66
  6. Step 6: Final answer
    x = 38,006.72

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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.