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Finding the Third Proportional to 4,083.75 and 6,302.81

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Solution

The third proportional to 4,083.75 and 6,302.81 is: 9,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.75 : 6,302.81 = 6,302.81 : x
  2. Step 2: Convert to fraction form
    4,083.75/6,302.81 = 6,302.81/x
  3. Step 3: Cross multiply
    4,083.75x = 6,302.81 × 6,302.81
  4. Step 4: Simplify right side
    4,083.75x = 39,725,445.41
  5. Step 5: Solve for x
    x = 39,725,445.41/4,083.75
  6. Step 6: Final answer
    x = 9,727.69

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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.