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Finding the Third Proportional to 11,329.88 and 18,724.50

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Solution

The third proportional to 11,329.88 and 18,724.50 is: 30,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.88 : 18,724.50 = 18,724.50 : x
  2. Step 2: Convert to fraction form
    11,329.88/18,724.50 = 18,724.50/x
  3. Step 3: Cross multiply
    11,329.88x = 18,724.50 × 18,724.50
  4. Step 4: Simplify right side
    11,329.88x = 350,606,900.25
  5. Step 5: Solve for x
    x = 350,606,900.25/11,329.88
  6. Step 6: Final answer
    x = 30,945.35

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.