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Finding the Third Proportional to 13,869.38 and 21,267.56

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Solution

The third proportional to 13,869.38 and 21,267.56 is: 32,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.38 : 21,267.56 = 21,267.56 : x
  2. Step 2: Convert to fraction form
    13,869.38/21,267.56 = 21,267.56/x
  3. Step 3: Cross multiply
    13,869.38x = 21,267.56 × 21,267.56
  4. Step 4: Simplify right side
    13,869.38x = 452,309,214.69
  5. Step 5: Solve for x
    x = 452,309,214.69/13,869.38
  6. Step 6: Final answer
    x = 32,612.08

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.