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Finding the Third Proportional to 4,727 and 10,051.75

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Solution

The third proportional to 4,727 and 10,051.75 is: 21,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727 : 10,051.75 = 10,051.75 : x
  2. Step 2: Convert to fraction form
    4,727/10,051.75 = 10,051.75/x
  3. Step 3: Cross multiply
    4,727x = 10,051.75 × 10,051.75
  4. Step 4: Simplify right side
    4,727x = 101,037,678.06
  5. Step 5: Solve for x
    x = 101,037,678.06/4,727
  6. Step 6: Final answer
    x = 21,374.59

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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.