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Finding the Third Proportional to 4,134.16 and 6,239.21

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Solution

The third proportional to 4,134.16 and 6,239.21 is: 9,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.16 : 6,239.21 = 6,239.21 : x
  2. Step 2: Convert to fraction form
    4,134.16/6,239.21 = 6,239.21/x
  3. Step 3: Cross multiply
    4,134.16x = 6,239.21 × 6,239.21
  4. Step 4: Simplify right side
    4,134.16x = 38,927,801.87
  5. Step 5: Solve for x
    x = 38,927,801.87/4,134.16
  6. Step 6: Final answer
    x = 9,416.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.