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Finding the Third Proportional to 19,704 and 31,332

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Solution

The third proportional to 19,704 and 31,332 is: 49,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 31,332 = 31,332 : x
  2. Step 2: Convert to fraction form
    19,704/31,332 = 31,332/x
  3. Step 3: Cross multiply
    19,704x = 31,332 × 31,332
  4. Step 4: Simplify right side
    19,704x = 981,694,224
  5. Step 5: Solve for x
    x = 981,694,224/19,704
  6. Step 6: Final answer
    x = 49,822.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.