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Finding the Third Proportional to 22,285.13 and 51,571.69

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Solution

The third proportional to 22,285.13 and 51,571.69 is: 119,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.13 : 51,571.69 = 51,571.69 : x
  2. Step 2: Convert to fraction form
    22,285.13/51,571.69 = 51,571.69/x
  3. Step 3: Cross multiply
    22,285.13x = 51,571.69 × 51,571.69
  4. Step 4: Simplify right side
    22,285.13x = 2,659,638,951.60
  5. Step 5: Solve for x
    x = 2,659,638,951.60/22,285.13
  6. Step 6: Final answer
    x = 119,345.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.