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Finding the Third Proportional to 13,930.73 and 21,835.83

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Solution

The third proportional to 13,930.73 and 21,835.83 is: 34,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.73 : 21,835.83 = 21,835.83 : x
  2. Step 2: Convert to fraction form
    13,930.73/21,835.83 = 21,835.83/x
  3. Step 3: Cross multiply
    13,930.73x = 21,835.83 × 21,835.83
  4. Step 4: Simplify right side
    13,930.73x = 476,803,389.90
  5. Step 5: Solve for x
    x = 476,803,389.90/13,930.73
  6. Step 6: Final answer
    x = 34,226.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.