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Finding the Third Proportional to 13,201.31 and 19,735.31

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Solution

The third proportional to 13,201.31 and 19,735.31 is: 29,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.31 : 19,735.31 = 19,735.31 : x
  2. Step 2: Convert to fraction form
    13,201.31/19,735.31 = 19,735.31/x
  3. Step 3: Cross multiply
    13,201.31x = 19,735.31 × 19,735.31
  4. Step 4: Simplify right side
    13,201.31x = 389,482,559.47
  5. Step 5: Solve for x
    x = 389,482,559.47/13,201.31
  6. Step 6: Final answer
    x = 29,503.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.