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Finding the Third Proportional to 14,270.06 and 22,726.31

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Solution

The third proportional to 14,270.06 and 22,726.31 is: 36,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.06 : 22,726.31 = 22,726.31 : x
  2. Step 2: Convert to fraction form
    14,270.06/22,726.31 = 22,726.31/x
  3. Step 3: Cross multiply
    14,270.06x = 22,726.31 × 22,726.31
  4. Step 4: Simplify right side
    14,270.06x = 516,485,279.85
  5. Step 5: Solve for x
    x = 516,485,279.85/14,270.06
  6. Step 6: Final answer
    x = 36,193.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.