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Finding the Third Proportional to 13,809.38 and 21,602.63

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Solution

The third proportional to 13,809.38 and 21,602.63 is: 33,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.38 : 21,602.63 = 21,602.63 : x
  2. Step 2: Convert to fraction form
    13,809.38/21,602.63 = 21,602.63/x
  3. Step 3: Cross multiply
    13,809.38x = 21,602.63 × 21,602.63
  4. Step 4: Simplify right side
    13,809.38x = 466,673,406.89
  5. Step 5: Solve for x
    x = 466,673,406.89/13,809.38
  6. Step 6: Final answer
    x = 33,793.96

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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.