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Finding the Third Proportional to 22,773.66 and 53,190.84

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Solution

The third proportional to 22,773.66 and 53,190.84 is: 124,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.66 : 53,190.84 = 53,190.84 : x
  2. Step 2: Convert to fraction form
    22,773.66/53,190.84 = 53,190.84/x
  3. Step 3: Cross multiply
    22,773.66x = 53,190.84 × 53,190.84
  4. Step 4: Simplify right side
    22,773.66x = 2,829,265,858.84
  5. Step 5: Solve for x
    x = 2,829,265,858.84/22,773.66
  6. Step 6: Final answer
    x = 124,234.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.