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Finding the Third Proportional to 23,007 and 51,400.50

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Solution

The third proportional to 23,007 and 51,400.50 is: 114,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007 : 51,400.50 = 51,400.50 : x
  2. Step 2: Convert to fraction form
    23,007/51,400.50 = 51,400.50/x
  3. Step 3: Cross multiply
    23,007x = 51,400.50 × 51,400.50
  4. Step 4: Simplify right side
    23,007x = 2,642,011,400.25
  5. Step 5: Solve for x
    x = 2,642,011,400.25/23,007
  6. Step 6: Final answer
    x = 114,835.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.