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Finding the Third Proportional to 13,669.31 and 21,415.22

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Solution

The third proportional to 13,669.31 and 21,415.22 is: 33,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.31 : 21,415.22 = 21,415.22 : x
  2. Step 2: Convert to fraction form
    13,669.31/21,415.22 = 21,415.22/x
  3. Step 3: Cross multiply
    13,669.31x = 21,415.22 × 21,415.22
  4. Step 4: Simplify right side
    13,669.31x = 458,611,594.11
  5. Step 5: Solve for x
    x = 458,611,594.11/13,669.31
  6. Step 6: Final answer
    x = 33,550.45

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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.