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Finding the Third Proportional to 21,732.75 and 31,019.53

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Solution

The third proportional to 21,732.75 and 31,019.53 is: 44,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.75 : 31,019.53 = 31,019.53 : x
  2. Step 2: Convert to fraction form
    21,732.75/31,019.53 = 31,019.53/x
  3. Step 3: Cross multiply
    21,732.75x = 31,019.53 × 31,019.53
  4. Step 4: Simplify right side
    21,732.75x = 962,211,318.97
  5. Step 5: Solve for x
    x = 962,211,318.97/21,732.75
  6. Step 6: Final answer
    x = 44,274.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.