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Finding the Third Proportional to 23,029 and 49,324

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Solution

The third proportional to 23,029 and 49,324 is: 105,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029 : 49,324 = 49,324 : x
  2. Step 2: Convert to fraction form
    23,029/49,324 = 49,324/x
  3. Step 3: Cross multiply
    23,029x = 49,324 × 49,324
  4. Step 4: Simplify right side
    23,029x = 2,432,856,976
  5. Step 5: Solve for x
    x = 2,432,856,976/23,029
  6. Step 6: Final answer
    x = 105,643.19

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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.