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Finding the Third Proportional to 23,454 and 48,843

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Solution

The third proportional to 23,454 and 48,843 is: 101,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 48,843 = 48,843 : x
  2. Step 2: Convert to fraction form
    23,454/48,843 = 48,843/x
  3. Step 3: Cross multiply
    23,454x = 48,843 × 48,843
  4. Step 4: Simplify right side
    23,454x = 2,385,638,649
  5. Step 5: Solve for x
    x = 2,385,638,649/23,454
  6. Step 6: Final answer
    x = 101,715.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.