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Finding the Third Proportional to 12,866.63 and 19,941.19

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Solution

The third proportional to 12,866.63 and 19,941.19 is: 30,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.63 : 19,941.19 = 19,941.19 : x
  2. Step 2: Convert to fraction form
    12,866.63/19,941.19 = 19,941.19/x
  3. Step 3: Cross multiply
    12,866.63x = 19,941.19 × 19,941.19
  4. Step 4: Simplify right side
    12,866.63x = 397,650,958.91
  5. Step 5: Solve for x
    x = 397,650,958.91/12,866.63
  6. Step 6: Final answer
    x = 30,905.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.