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Finding the Third Proportional to 21,724.50 and 30,318.75

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Solution

The third proportional to 21,724.50 and 30,318.75 is: 42,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.50 : 30,318.75 = 30,318.75 : x
  2. Step 2: Convert to fraction form
    21,724.50/30,318.75 = 30,318.75/x
  3. Step 3: Cross multiply
    21,724.50x = 30,318.75 × 30,318.75
  4. Step 4: Simplify right side
    21,724.50x = 919,226,601.56
  5. Step 5: Solve for x
    x = 919,226,601.56/21,724.50
  6. Step 6: Final answer
    x = 42,312.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.