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Finding the Third Proportional to 13,685.84 and 21,451.39

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Solution

The third proportional to 13,685.84 and 21,451.39 is: 33,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 21,451.39 = 21,451.39 : x
  2. Step 2: Convert to fraction form
    13,685.84/21,451.39 = 21,451.39/x
  3. Step 3: Cross multiply
    13,685.84x = 21,451.39 × 21,451.39
  4. Step 4: Simplify right side
    13,685.84x = 460,162,327.34
  5. Step 5: Solve for x
    x = 460,162,327.34/13,685.84
  6. Step 6: Final answer
    x = 33,623.25

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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.