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Finding the Third Proportional to 23,460 and 49,349

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Solution

The third proportional to 23,460 and 49,349 is: 103,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460 : 49,349 = 49,349 : x
  2. Step 2: Convert to fraction form
    23,460/49,349 = 49,349/x
  3. Step 3: Cross multiply
    23,460x = 49,349 × 49,349
  4. Step 4: Simplify right side
    23,460x = 2,435,323,801
  5. Step 5: Solve for x
    x = 2,435,323,801/23,460
  6. Step 6: Final answer
    x = 103,807.49

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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.