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Finding the Third Proportional to 12,792.38 and 19,735.31

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Solution

The third proportional to 12,792.38 and 19,735.31 is: 30,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.38 : 19,735.31 = 19,735.31 : x
  2. Step 2: Convert to fraction form
    12,792.38/19,735.31 = 19,735.31/x
  3. Step 3: Cross multiply
    12,792.38x = 19,735.31 × 19,735.31
  4. Step 4: Simplify right side
    12,792.38x = 389,482,559.47
  5. Step 5: Solve for x
    x = 389,482,559.47/12,792.38
  6. Step 6: Final answer
    x = 30,446.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.