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Finding the Third Proportional to 14,809.50 and 22,759.31

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Solution

The third proportional to 14,809.50 and 22,759.31 is: 34,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.50 : 22,759.31 = 22,759.31 : x
  2. Step 2: Convert to fraction form
    14,809.50/22,759.31 = 22,759.31/x
  3. Step 3: Cross multiply
    14,809.50x = 22,759.31 × 22,759.31
  4. Step 4: Simplify right side
    14,809.50x = 517,986,305.47
  5. Step 5: Solve for x
    x = 517,986,305.47/14,809.50
  6. Step 6: Final answer
    x = 34,976.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.