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Finding the Third Proportional to 14,234.06 and 21,335.06

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Solution

The third proportional to 14,234.06 and 21,335.06 is: 31,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.06 : 21,335.06 = 21,335.06 : x
  2. Step 2: Convert to fraction form
    14,234.06/21,335.06 = 21,335.06/x
  3. Step 3: Cross multiply
    14,234.06x = 21,335.06 × 21,335.06
  4. Step 4: Simplify right side
    14,234.06x = 455,184,891.88
  5. Step 5: Solve for x
    x = 455,184,891.88/14,234.06
  6. Step 6: Final answer
    x = 31,978.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.