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Finding the Third Proportional to 23,508 and 49,440

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Solution

The third proportional to 23,508 and 49,440 is: 103,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508 : 49,440 = 49,440 : x
  2. Step 2: Convert to fraction form
    23,508/49,440 = 49,440/x
  3. Step 3: Cross multiply
    23,508x = 49,440 × 49,440
  4. Step 4: Simplify right side
    23,508x = 2,444,313,600
  5. Step 5: Solve for x
    x = 2,444,313,600/23,508
  6. Step 6: Final answer
    x = 103,977.95

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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.