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Finding the Third Proportional to 23,711.06 and 49,614.56

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Solution

The third proportional to 23,711.06 and 49,614.56 is: 103,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.06 : 49,614.56 = 49,614.56 : x
  2. Step 2: Convert to fraction form
    23,711.06/49,614.56 = 49,614.56/x
  3. Step 3: Cross multiply
    23,711.06x = 49,614.56 × 49,614.56
  4. Step 4: Simplify right side
    23,711.06x = 2,461,604,812.07
  5. Step 5: Solve for x
    x = 2,461,604,812.07/23,711.06
  6. Step 6: Final answer
    x = 103,816.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.