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Finding the Third Proportional to 23,158.69 and 49,827.94

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Solution

The third proportional to 23,158.69 and 49,827.94 is: 107,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.69 : 49,827.94 = 49,827.94 : x
  2. Step 2: Convert to fraction form
    23,158.69/49,827.94 = 49,827.94/x
  3. Step 3: Cross multiply
    23,158.69x = 49,827.94 × 49,827.94
  4. Step 4: Simplify right side
    23,158.69x = 2,482,823,355.50
  5. Step 5: Solve for x
    x = 2,482,823,355.50/23,158.69
  6. Step 6: Final answer
    x = 107,209.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.