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Finding the Third Proportional to 23,234 and 49,468

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Solution

The third proportional to 23,234 and 49,468 is: 105,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234 : 49,468 = 49,468 : x
  2. Step 2: Convert to fraction form
    23,234/49,468 = 49,468/x
  3. Step 3: Cross multiply
    23,234x = 49,468 × 49,468
  4. Step 4: Simplify right side
    23,234x = 2,447,083,024
  5. Step 5: Solve for x
    x = 2,447,083,024/23,234
  6. Step 6: Final answer
    x = 105,323.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.