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Finding the Third Proportional to 14,177.25 and 29,724.75

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Solution

The third proportional to 14,177.25 and 29,724.75 is: 62,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.25 : 29,724.75 = 29,724.75 : x
  2. Step 2: Convert to fraction form
    14,177.25/29,724.75 = 29,724.75/x
  3. Step 3: Cross multiply
    14,177.25x = 29,724.75 × 29,724.75
  4. Step 4: Simplify right side
    14,177.25x = 883,560,762.56
  5. Step 5: Solve for x
    x = 883,560,762.56/14,177.25
  6. Step 6: Final answer
    x = 62,322.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.