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Finding the Third Proportional to 23,533.66 and 51,731.79

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Solution

The third proportional to 23,533.66 and 51,731.79 is: 113,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.66 : 51,731.79 = 51,731.79 : x
  2. Step 2: Convert to fraction form
    23,533.66/51,731.79 = 51,731.79/x
  3. Step 3: Cross multiply
    23,533.66x = 51,731.79 × 51,731.79
  4. Step 4: Simplify right side
    23,533.66x = 2,676,177,999.61
  5. Step 5: Solve for x
    x = 2,676,177,999.61/23,533.66
  6. Step 6: Final answer
    x = 113,717.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.