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Finding the Third Proportional to 23,616.50 and 49,898.88

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Solution

The third proportional to 23,616.50 and 49,898.88 is: 105,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.50 : 49,898.88 = 49,898.88 : x
  2. Step 2: Convert to fraction form
    23,616.50/49,898.88 = 49,898.88/x
  3. Step 3: Cross multiply
    23,616.50x = 49,898.88 × 49,898.88
  4. Step 4: Simplify right side
    23,616.50x = 2,489,897,726.27
  5. Step 5: Solve for x
    x = 2,489,897,726.27/23,616.50
  6. Step 6: Final answer
    x = 105,430.43

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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.