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Finding the Third Proportional to 10,342.69 and 15,511.08

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Solution

The third proportional to 10,342.69 and 15,511.08 is: 23,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 15,511.08 = 15,511.08 : x
  2. Step 2: Convert to fraction form
    10,342.69/15,511.08 = 15,511.08/x
  3. Step 3: Cross multiply
    10,342.69x = 15,511.08 × 15,511.08
  4. Step 4: Simplify right side
    10,342.69x = 240,593,544.60
  5. Step 5: Solve for x
    x = 240,593,544.60/10,342.69
  6. Step 6: Final answer
    x = 23,262.19

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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.