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Finding the Third Proportional to 23,533.25 and 51,805

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Solution

The third proportional to 23,533.25 and 51,805 is: 114,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.25 : 51,805 = 51,805 : x
  2. Step 2: Convert to fraction form
    23,533.25/51,805 = 51,805/x
  3. Step 3: Cross multiply
    23,533.25x = 51,805 × 51,805
  4. Step 4: Simplify right side
    23,533.25x = 2,683,758,025
  5. Step 5: Solve for x
    x = 2,683,758,025/23,533.25
  6. Step 6: Final answer
    x = 114,041.11

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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.