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Finding the Third Proportional to 23,444 and 50,587

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Solution

The third proportional to 23,444 and 50,587 is: 109,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444 : 50,587 = 50,587 : x
  2. Step 2: Convert to fraction form
    23,444/50,587 = 50,587/x
  3. Step 3: Cross multiply
    23,444x = 50,587 × 50,587
  4. Step 4: Simplify right side
    23,444x = 2,559,044,569
  5. Step 5: Solve for x
    x = 2,559,044,569/23,444
  6. Step 6: Final answer
    x = 109,155.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.