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Finding the Third Proportional to 23,005.69 and 49,636.13

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Solution

The third proportional to 23,005.69 and 49,636.13 is: 107,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.69 : 49,636.13 = 49,636.13 : x
  2. Step 2: Convert to fraction form
    23,005.69/49,636.13 = 49,636.13/x
  3. Step 3: Cross multiply
    23,005.69x = 49,636.13 × 49,636.13
  4. Step 4: Simplify right side
    23,005.69x = 2,463,744,905.02
  5. Step 5: Solve for x
    x = 2,463,744,905.02/23,005.69
  6. Step 6: Final answer
    x = 107,092.86

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