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Finding the Third Proportional to 23,477.56 and 52,204.38

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Solution

The third proportional to 23,477.56 and 52,204.38 is: 116,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.56 : 52,204.38 = 52,204.38 : x
  2. Step 2: Convert to fraction form
    23,477.56/52,204.38 = 52,204.38/x
  3. Step 3: Cross multiply
    23,477.56x = 52,204.38 × 52,204.38
  4. Step 4: Simplify right side
    23,477.56x = 2,725,296,769.14
  5. Step 5: Solve for x
    x = 2,725,296,769.14/23,477.56
  6. Step 6: Final answer
    x = 116,080.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.