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Finding the Third Proportional to 19,524 and 31,716

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Solution

The third proportional to 19,524 and 31,716 is: 51,521.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 31,716 = 31,716 : x
  2. Step 2: Convert to fraction form
    19,524/31,716 = 31,716/x
  3. Step 3: Cross multiply
    19,524x = 31,716 × 31,716
  4. Step 4: Simplify right side
    19,524x = 1,005,904,656
  5. Step 5: Solve for x
    x = 1,005,904,656/19,524
  6. Step 6: Final answer
    x = 51,521.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.