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Finding the Third Proportional to 10,654.03 and 22,431.30

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Solution

The third proportional to 10,654.03 and 22,431.30 is: 47,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.03 : 22,431.30 = 22,431.30 : x
  2. Step 2: Convert to fraction form
    10,654.03/22,431.30 = 22,431.30/x
  3. Step 3: Cross multiply
    10,654.03x = 22,431.30 × 22,431.30
  4. Step 4: Simplify right side
    10,654.03x = 503,163,429.98
  5. Step 5: Solve for x
    x = 503,163,429.98/10,654.03
  6. Step 6: Final answer
    x = 47,227.52

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.