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Finding the Third Proportional to 13,809.75 and 21,602.81

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Solution

The third proportional to 13,809.75 and 21,602.81 is: 33,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.75 : 21,602.81 = 21,602.81 : x
  2. Step 2: Convert to fraction form
    13,809.75/21,602.81 = 21,602.81/x
  3. Step 3: Cross multiply
    13,809.75x = 21,602.81 × 21,602.81
  4. Step 4: Simplify right side
    13,809.75x = 466,681,507.91
  5. Step 5: Solve for x
    x = 466,681,507.91/13,809.75
  6. Step 6: Final answer
    x = 33,793.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.