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Finding the Third Proportional to 23,069.81 and 49,573.13

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Solution

The third proportional to 23,069.81 and 49,573.13 is: 106,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069.81 : 49,573.13 = 49,573.13 : x
  2. Step 2: Convert to fraction form
    23,069.81/49,573.13 = 49,573.13/x
  3. Step 3: Cross multiply
    23,069.81x = 49,573.13 × 49,573.13
  4. Step 4: Simplify right side
    23,069.81x = 2,457,494,722.27
  5. Step 5: Solve for x
    x = 2,457,494,722.27/23,069.81
  6. Step 6: Final answer
    x = 106,524.26

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Why These Related Problems?

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