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Finding the Third Proportional to 10,798.31 and 23,601.38

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Solution

The third proportional to 10,798.31 and 23,601.38 is: 51,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.31 : 23,601.38 = 23,601.38 : x
  2. Step 2: Convert to fraction form
    10,798.31/23,601.38 = 23,601.38/x
  3. Step 3: Cross multiply
    10,798.31x = 23,601.38 × 23,601.38
  4. Step 4: Simplify right side
    10,798.31x = 557,024,901.89
  5. Step 5: Solve for x
    x = 557,024,901.89/10,798.31
  6. Step 6: Final answer
    x = 51,584.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.