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Finding the Third Proportional to 14,035.50 and 30,711

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Solution

The third proportional to 14,035.50 and 30,711 is: 67,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.50 : 30,711 = 30,711 : x
  2. Step 2: Convert to fraction form
    14,035.50/30,711 = 30,711/x
  3. Step 3: Cross multiply
    14,035.50x = 30,711 × 30,711
  4. Step 4: Simplify right side
    14,035.50x = 943,165,521
  5. Step 5: Solve for x
    x = 943,165,521/14,035.50
  6. Step 6: Final answer
    x = 67,198.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.