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Finding the Third Proportional to 19,732 and 43,836

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Solution

The third proportional to 19,732 and 43,836 is: 97,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 43,836 = 43,836 : x
  2. Step 2: Convert to fraction form
    19,732/43,836 = 43,836/x
  3. Step 3: Cross multiply
    19,732x = 43,836 × 43,836
  4. Step 4: Simplify right side
    19,732x = 1,921,594,896
  5. Step 5: Solve for x
    x = 1,921,594,896/19,732
  6. Step 6: Final answer
    x = 97,384.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.