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Finding the Third Proportional to 19,762 and 31,243

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Solution

The third proportional to 19,762 and 31,243 is: 49,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762 : 31,243 = 31,243 : x
  2. Step 2: Convert to fraction form
    19,762/31,243 = 31,243/x
  3. Step 3: Cross multiply
    19,762x = 31,243 × 31,243
  4. Step 4: Simplify right side
    19,762x = 976,125,049
  5. Step 5: Solve for x
    x = 976,125,049/19,762
  6. Step 6: Final answer
    x = 49,394.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.