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Finding the Third Proportional to 4,172.25 and 5,833.13

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Solution

The third proportional to 4,172.25 and 5,833.13 is: 8,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.25 : 5,833.13 = 5,833.13 : x
  2. Step 2: Convert to fraction form
    4,172.25/5,833.13 = 5,833.13/x
  3. Step 3: Cross multiply
    4,172.25x = 5,833.13 × 5,833.13
  4. Step 4: Simplify right side
    4,172.25x = 34,025,347.27
  5. Step 5: Solve for x
    x = 34,025,347.27/4,172.25
  6. Step 6: Final answer
    x = 8,155.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.