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Finding the Third Proportional to 14,433 and 31,019

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Solution

The third proportional to 14,433 and 31,019 is: 66,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433 : 31,019 = 31,019 : x
  2. Step 2: Convert to fraction form
    14,433/31,019 = 31,019/x
  3. Step 3: Cross multiply
    14,433x = 31,019 × 31,019
  4. Step 4: Simplify right side
    14,433x = 962,178,361
  5. Step 5: Solve for x
    x = 962,178,361/14,433
  6. Step 6: Final answer
    x = 66,665.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.