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Finding the Third Proportional to 14,441.25 and 21,159.75

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Solution

The third proportional to 14,441.25 and 21,159.75 is: 31,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.25 : 21,159.75 = 21,159.75 : x
  2. Step 2: Convert to fraction form
    14,441.25/21,159.75 = 21,159.75/x
  3. Step 3: Cross multiply
    14,441.25x = 21,159.75 × 21,159.75
  4. Step 4: Simplify right side
    14,441.25x = 447,735,020.06
  5. Step 5: Solve for x
    x = 447,735,020.06/14,441.25
  6. Step 6: Final answer
    x = 31,003.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.