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Finding the Third Proportional to 10,153.27 and 15,145.73

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Solution

The third proportional to 10,153.27 and 15,145.73 is: 22,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.27 : 15,145.73 = 15,145.73 : x
  2. Step 2: Convert to fraction form
    10,153.27/15,145.73 = 15,145.73/x
  3. Step 3: Cross multiply
    10,153.27x = 15,145.73 × 15,145.73
  4. Step 4: Simplify right side
    10,153.27x = 229,393,269.76
  5. Step 5: Solve for x
    x = 229,393,269.76/10,153.27
  6. Step 6: Final answer
    x = 22,593.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.