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Finding the Third Proportional to 4,742.25 and 10,302.75

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Solution

The third proportional to 4,742.25 and 10,302.75 is: 22,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.25 : 10,302.75 = 10,302.75 : x
  2. Step 2: Convert to fraction form
    4,742.25/10,302.75 = 10,302.75/x
  3. Step 3: Cross multiply
    4,742.25x = 10,302.75 × 10,302.75
  4. Step 4: Simplify right side
    4,742.25x = 106,146,657.56
  5. Step 5: Solve for x
    x = 106,146,657.56/4,742.25
  6. Step 6: Final answer
    x = 22,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.