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Finding the Third Proportional to 23,130 and 49,767

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Solution

The third proportional to 23,130 and 49,767 is: 107,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130 : 49,767 = 49,767 : x
  2. Step 2: Convert to fraction form
    23,130/49,767 = 49,767/x
  3. Step 3: Cross multiply
    23,130x = 49,767 × 49,767
  4. Step 4: Simplify right side
    23,130x = 2,476,754,289
  5. Step 5: Solve for x
    x = 2,476,754,289/23,130
  6. Step 6: Final answer
    x = 107,079.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.