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Finding the Third Proportional to 4,029.75 and 6,224.34

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Solution

The third proportional to 4,029.75 and 6,224.34 is: 9,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.75 : 6,224.34 = 6,224.34 : x
  2. Step 2: Convert to fraction form
    4,029.75/6,224.34 = 6,224.34/x
  3. Step 3: Cross multiply
    4,029.75x = 6,224.34 × 6,224.34
  4. Step 4: Simplify right side
    4,029.75x = 38,742,455.12
  5. Step 5: Solve for x
    x = 38,742,455.12/4,029.75
  6. Step 6: Final answer
    x = 9,614.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.