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Finding the Third Proportional to 16,705.69 and 24,976.69

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Solution

The third proportional to 16,705.69 and 24,976.69 is: 37,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.69 : 24,976.69 = 24,976.69 : x
  2. Step 2: Convert to fraction form
    16,705.69/24,976.69 = 24,976.69/x
  3. Step 3: Cross multiply
    16,705.69x = 24,976.69 × 24,976.69
  4. Step 4: Simplify right side
    16,705.69x = 623,834,918.47
  5. Step 5: Solve for x
    x = 623,834,918.47/16,705.69
  6. Step 6: Final answer
    x = 37,342.67

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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.