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Finding the Third Proportional to 23,146.88 and 49,898.25

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Solution

The third proportional to 23,146.88 and 49,898.25 is: 107,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.88 : 49,898.25 = 49,898.25 : x
  2. Step 2: Convert to fraction form
    23,146.88/49,898.25 = 49,898.25/x
  3. Step 3: Cross multiply
    23,146.88x = 49,898.25 × 49,898.25
  4. Step 4: Simplify right side
    23,146.88x = 2,489,835,353.06
  5. Step 5: Solve for x
    x = 2,489,835,353.06/23,146.88
  6. Step 6: Final answer
    x = 107,566.80

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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.