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Finding the Third Proportional to 44,237 and 61,663

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Solution

The third proportional to 44,237 and 61,663 is: 85,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,237 : 61,663 = 61,663 : x
  2. Step 2: Convert to fraction form
    44,237/61,663 = 61,663/x
  3. Step 3: Cross multiply
    44,237x = 61,663 × 61,663
  4. Step 4: Simplify right side
    44,237x = 3,802,325,569
  5. Step 5: Solve for x
    x = 3,802,325,569/44,237
  6. Step 6: Final answer
    x = 85,953.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.