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Finding the Third Proportional to 23,670.35 and 51,795.07

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Solution

The third proportional to 23,670.35 and 51,795.07 is: 113,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.35 : 51,795.07 = 51,795.07 : x
  2. Step 2: Convert to fraction form
    23,670.35/51,795.07 = 51,795.07/x
  3. Step 3: Cross multiply
    23,670.35x = 51,795.07 × 51,795.07
  4. Step 4: Simplify right side
    23,670.35x = 2,682,729,308.68
  5. Step 5: Solve for x
    x = 2,682,729,308.68/23,670.35
  6. Step 6: Final answer
    x = 113,337.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.