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Finding the Third Proportional to 31,356 and 45,834

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Solution

The third proportional to 31,356 and 45,834 is: 66,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356 : 45,834 = 45,834 : x
  2. Step 2: Convert to fraction form
    31,356/45,834 = 45,834/x
  3. Step 3: Cross multiply
    31,356x = 45,834 × 45,834
  4. Step 4: Simplify right side
    31,356x = 2,100,755,556
  5. Step 5: Solve for x
    x = 2,100,755,556/31,356
  6. Step 6: Final answer
    x = 66,996.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.