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Finding the Third Proportional to 10,035 and 14,296.50

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Solution

The third proportional to 10,035 and 14,296.50 is: 20,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 14,296.50 = 14,296.50 : x
  2. Step 2: Convert to fraction form
    10,035/14,296.50 = 14,296.50/x
  3. Step 3: Cross multiply
    10,035x = 14,296.50 × 14,296.50
  4. Step 4: Simplify right side
    10,035x = 204,389,912.25
  5. Step 5: Solve for x
    x = 204,389,912.25/10,035
  6. Step 6: Final answer
    x = 20,367.70

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Why These Related Problems?

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