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Finding the Third Proportional to 16,583.06 and 34,122.94

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Solution

The third proportional to 16,583.06 and 34,122.94 is: 70,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.06 : 34,122.94 = 34,122.94 : x
  2. Step 2: Convert to fraction form
    16,583.06/34,122.94 = 34,122.94/x
  3. Step 3: Cross multiply
    16,583.06x = 34,122.94 × 34,122.94
  4. Step 4: Simplify right side
    16,583.06x = 1,164,374,863.63
  5. Step 5: Solve for x
    x = 1,164,374,863.63/16,583.06
  6. Step 6: Final answer
    x = 70,214.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.