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Finding the Third Proportional to 4,727.25 and 10,051.88

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Solution

The third proportional to 4,727.25 and 10,051.88 is: 21,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.25 : 10,051.88 = 10,051.88 : x
  2. Step 2: Convert to fraction form
    4,727.25/10,051.88 = 10,051.88/x
  3. Step 3: Cross multiply
    4,727.25x = 10,051.88 × 10,051.88
  4. Step 4: Simplify right side
    4,727.25x = 101,040,191.02
  5. Step 5: Solve for x
    x = 101,040,191.02/4,727.25
  6. Step 6: Final answer
    x = 21,373.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.