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Finding the Third Proportional to 20,252.53 and 47,111.63

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Solution

The third proportional to 20,252.53 and 47,111.63 is: 109,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.53 : 47,111.63 = 47,111.63 : x
  2. Step 2: Convert to fraction form
    20,252.53/47,111.63 = 47,111.63/x
  3. Step 3: Cross multiply
    20,252.53x = 47,111.63 × 47,111.63
  4. Step 4: Simplify right side
    20,252.53x = 2,219,505,210.14
  5. Step 5: Solve for x
    x = 2,219,505,210.14/20,252.53
  6. Step 6: Final answer
    x = 109,591.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.