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Finding the Third Proportional to 23,441.91 and 49,959.28

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Solution

The third proportional to 23,441.91 and 49,959.28 is: 106,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.91 : 49,959.28 = 49,959.28 : x
  2. Step 2: Convert to fraction form
    23,441.91/49,959.28 = 49,959.28/x
  3. Step 3: Cross multiply
    23,441.91x = 49,959.28 × 49,959.28
  4. Step 4: Simplify right side
    23,441.91x = 2,495,929,783.02
  5. Step 5: Solve for x
    x = 2,495,929,783.02/23,441.91
  6. Step 6: Final answer
    x = 106,472.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.