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Finding the Third Proportional to 10,338.89 and 15,510.23

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Solution

The third proportional to 10,338.89 and 15,510.23 is: 23,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.89 : 15,510.23 = 15,510.23 : x
  2. Step 2: Convert to fraction form
    10,338.89/15,510.23 = 15,510.23/x
  3. Step 3: Cross multiply
    10,338.89x = 15,510.23 × 15,510.23
  4. Step 4: Simplify right side
    10,338.89x = 240,567,370.37
  5. Step 5: Solve for x
    x = 240,567,370.37/10,338.89
  6. Step 6: Final answer
    x = 23,268.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.