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Finding the Third Proportional to 23,098 and 49,355

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Solution

The third proportional to 23,098 and 49,355 is: 105,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098 : 49,355 = 49,355 : x
  2. Step 2: Convert to fraction form
    23,098/49,355 = 49,355/x
  3. Step 3: Cross multiply
    23,098x = 49,355 × 49,355
  4. Step 4: Simplify right side
    23,098x = 2,435,916,025
  5. Step 5: Solve for x
    x = 2,435,916,025/23,098
  6. Step 6: Final answer
    x = 105,460.04

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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.