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Finding the Third Proportional to 22,993.24 and 49,614.40

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Solution

The third proportional to 22,993.24 and 49,614.40 is: 107,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.24 : 49,614.40 = 49,614.40 : x
  2. Step 2: Convert to fraction form
    22,993.24/49,614.40 = 49,614.40/x
  3. Step 3: Cross multiply
    22,993.24x = 49,614.40 × 49,614.40
  4. Step 4: Simplify right side
    22,993.24x = 2,461,588,532.32
  5. Step 5: Solve for x
    x = 2,461,588,532.32/22,993.24
  6. Step 6: Final answer
    x = 107,057.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.