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Finding the Third Proportional to 8,996.06 and 14,234.06

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Solution

The third proportional to 8,996.06 and 14,234.06 is: 22,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.06 : 14,234.06 = 14,234.06 : x
  2. Step 2: Convert to fraction form
    8,996.06/14,234.06 = 14,234.06/x
  3. Step 3: Cross multiply
    8,996.06x = 14,234.06 × 14,234.06
  4. Step 4: Simplify right side
    8,996.06x = 202,608,535.25
  5. Step 5: Solve for x
    x = 202,608,535.25/8,996.06
  6. Step 6: Final answer
    x = 22,521.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.