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Finding the Third Proportional to 10,813.50 and 26,171.86

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Solution

The third proportional to 10,813.50 and 26,171.86 is: 63,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.50 : 26,171.86 = 26,171.86 : x
  2. Step 2: Convert to fraction form
    10,813.50/26,171.86 = 26,171.86/x
  3. Step 3: Cross multiply
    10,813.50x = 26,171.86 × 26,171.86
  4. Step 4: Simplify right side
    10,813.50x = 684,966,223.14
  5. Step 5: Solve for x
    x = 684,966,223.14/10,813.50
  6. Step 6: Final answer
    x = 63,343.62

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.