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Finding the Third Proportional to 23,007 and 49,639

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Solution

The third proportional to 23,007 and 49,639 is: 107,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007 : 49,639 = 49,639 : x
  2. Step 2: Convert to fraction form
    23,007/49,639 = 49,639/x
  3. Step 3: Cross multiply
    23,007x = 49,639 × 49,639
  4. Step 4: Simplify right side
    23,007x = 2,464,030,321
  5. Step 5: Solve for x
    x = 2,464,030,321/23,007
  6. Step 6: Final answer
    x = 107,099.16

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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.