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Finding the Third Proportional to 10,304.25 and 19,787.63

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Solution

The third proportional to 10,304.25 and 19,787.63 is: 37,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.25 : 19,787.63 = 19,787.63 : x
  2. Step 2: Convert to fraction form
    10,304.25/19,787.63 = 19,787.63/x
  3. Step 3: Cross multiply
    10,304.25x = 19,787.63 × 19,787.63
  4. Step 4: Simplify right side
    10,304.25x = 391,550,103.14
  5. Step 5: Solve for x
    x = 391,550,103.14/10,304.25
  6. Step 6: Final answer
    x = 37,998.89

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.