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Finding the Third Proportional to 22,664.81 and 51,024.94

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Solution

The third proportional to 22,664.81 and 51,024.94 is: 114,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664.81 : 51,024.94 = 51,024.94 : x
  2. Step 2: Convert to fraction form
    22,664.81/51,024.94 = 51,024.94/x
  3. Step 3: Cross multiply
    22,664.81x = 51,024.94 × 51,024.94
  4. Step 4: Simplify right side
    22,664.81x = 2,603,544,246.88
  5. Step 5: Solve for x
    x = 2,603,544,246.88/22,664.81
  6. Step 6: Final answer
    x = 114,871.64

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.