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Finding the Third Proportional to 47,497.50 and 104,475

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Solution

The third proportional to 47,497.50 and 104,475 is: 229,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.50 : 104,475 = 104,475 : x
  2. Step 2: Convert to fraction form
    47,497.50/104,475 = 104,475/x
  3. Step 3: Cross multiply
    47,497.50x = 104,475 × 104,475
  4. Step 4: Simplify right side
    47,497.50x = 10,915,025,625
  5. Step 5: Solve for x
    x = 10,915,025,625/47,497.50
  6. Step 6: Final answer
    x = 229,802.11

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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.