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Finding the Third Proportional to 10,035 and 14,253

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Solution

The third proportional to 10,035 and 14,253 is: 20,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 14,253 = 14,253 : x
  2. Step 2: Convert to fraction form
    10,035/14,253 = 14,253/x
  3. Step 3: Cross multiply
    10,035x = 14,253 × 14,253
  4. Step 4: Simplify right side
    10,035x = 203,148,009
  5. Step 5: Solve for x
    x = 203,148,009/10,035
  6. Step 6: Final answer
    x = 20,243.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.