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Finding the Third Proportional to 23,042 and 49,729

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Solution

The third proportional to 23,042 and 49,729 is: 107,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042 : 49,729 = 49,729 : x
  2. Step 2: Convert to fraction form
    23,042/49,729 = 49,729/x
  3. Step 3: Cross multiply
    23,042x = 49,729 × 49,729
  4. Step 4: Simplify right side
    23,042x = 2,472,973,441
  5. Step 5: Solve for x
    x = 2,472,973,441/23,042
  6. Step 6: Final answer
    x = 107,324.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.