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Finding the Third Proportional to 23,307 and 48,891

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Solution

The third proportional to 23,307 and 48,891 is: 102,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307 : 48,891 = 48,891 : x
  2. Step 2: Convert to fraction form
    23,307/48,891 = 48,891/x
  3. Step 3: Cross multiply
    23,307x = 48,891 × 48,891
  4. Step 4: Simplify right side
    23,307x = 2,390,329,881
  5. Step 5: Solve for x
    x = 2,390,329,881/23,307
  6. Step 6: Final answer
    x = 102,558.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.