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Finding the Third Proportional to 23,210 and 49,768

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Solution

The third proportional to 23,210 and 49,768 is: 106,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210 : 49,768 = 49,768 : x
  2. Step 2: Convert to fraction form
    23,210/49,768 = 49,768/x
  3. Step 3: Cross multiply
    23,210x = 49,768 × 49,768
  4. Step 4: Simplify right side
    23,210x = 2,476,853,824
  5. Step 5: Solve for x
    x = 2,476,853,824/23,210
  6. Step 6: Final answer
    x = 106,714.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.