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Finding the Third Proportional to 22,606.50 and 48,975.75

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Solution

The third proportional to 22,606.50 and 48,975.75 is: 106,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.50 : 48,975.75 = 48,975.75 : x
  2. Step 2: Convert to fraction form
    22,606.50/48,975.75 = 48,975.75/x
  3. Step 3: Cross multiply
    22,606.50x = 48,975.75 × 48,975.75
  4. Step 4: Simplify right side
    22,606.50x = 2,398,624,088.06
  5. Step 5: Solve for x
    x = 2,398,624,088.06/22,606.50
  6. Step 6: Final answer
    x = 106,103.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.