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Finding the Third Proportional to 22,502.50 and 49,243

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Solution

The third proportional to 22,502.50 and 49,243 is: 107,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.50 : 49,243 = 49,243 : x
  2. Step 2: Convert to fraction form
    22,502.50/49,243 = 49,243/x
  3. Step 3: Cross multiply
    22,502.50x = 49,243 × 49,243
  4. Step 4: Simplify right side
    22,502.50x = 2,424,873,049
  5. Step 5: Solve for x
    x = 2,424,873,049/22,502.50
  6. Step 6: Final answer
    x = 107,760.16

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Why These Related Problems?

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