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Finding the Third Proportional to 10,601.50 and 18,053.75

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Solution

The third proportional to 10,601.50 and 18,053.75 is: 30,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.50 : 18,053.75 = 18,053.75 : x
  2. Step 2: Convert to fraction form
    10,601.50/18,053.75 = 18,053.75/x
  3. Step 3: Cross multiply
    10,601.50x = 18,053.75 × 18,053.75
  4. Step 4: Simplify right side
    10,601.50x = 325,937,889.06
  5. Step 5: Solve for x
    x = 325,937,889.06/10,601.50
  6. Step 6: Final answer
    x = 30,744.51

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.