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Finding the Third Proportional to 23,616.38 and 49,898.63

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Solution

The third proportional to 23,616.38 and 49,898.63 is: 105,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.38 : 49,898.63 = 49,898.63 : x
  2. Step 2: Convert to fraction form
    23,616.38/49,898.63 = 49,898.63/x
  3. Step 3: Cross multiply
    23,616.38x = 49,898.63 × 49,898.63
  4. Step 4: Simplify right side
    23,616.38x = 2,489,872,776.89
  5. Step 5: Solve for x
    x = 2,489,872,776.89/23,616.38
  6. Step 6: Final answer
    x = 105,429.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.