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Finding the Third Proportional to 22,208.75 and 47,711.50

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Solution

The third proportional to 22,208.75 and 47,711.50 is: 102,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.75 : 47,711.50 = 47,711.50 : x
  2. Step 2: Convert to fraction form
    22,208.75/47,711.50 = 47,711.50/x
  3. Step 3: Cross multiply
    22,208.75x = 47,711.50 × 47,711.50
  4. Step 4: Simplify right side
    22,208.75x = 2,276,387,232.25
  5. Step 5: Solve for x
    x = 2,276,387,232.25/22,208.75
  6. Step 6: Final answer
    x = 102,499.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.