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Finding the Third Proportional to 22,011.75 and 47,612.81

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Solution

The third proportional to 22,011.75 and 47,612.81 is: 102,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,011.75 : 47,612.81 = 47,612.81 : x
  2. Step 2: Convert to fraction form
    22,011.75/47,612.81 = 47,612.81/x
  3. Step 3: Cross multiply
    22,011.75x = 47,612.81 × 47,612.81
  4. Step 4: Simplify right side
    22,011.75x = 2,266,979,914.16
  5. Step 5: Solve for x
    x = 2,266,979,914.16/22,011.75
  6. Step 6: Final answer
    x = 102,989.54

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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.