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Finding the Third Proportional to 12,947.25 and 20,654.25

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Solution

The third proportional to 12,947.25 and 20,654.25 is: 32,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.25 : 20,654.25 = 20,654.25 : x
  2. Step 2: Convert to fraction form
    12,947.25/20,654.25 = 20,654.25/x
  3. Step 3: Cross multiply
    12,947.25x = 20,654.25 × 20,654.25
  4. Step 4: Simplify right side
    12,947.25x = 426,598,043.06
  5. Step 5: Solve for x
    x = 426,598,043.06/12,947.25
  6. Step 6: Final answer
    x = 32,948.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.