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Finding the Third Proportional to 4,218.19 and 6,292.41

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Solution

The third proportional to 4,218.19 and 6,292.41 is: 9,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.19 : 6,292.41 = 6,292.41 : x
  2. Step 2: Convert to fraction form
    4,218.19/6,292.41 = 6,292.41/x
  3. Step 3: Cross multiply
    4,218.19x = 6,292.41 × 6,292.41
  4. Step 4: Simplify right side
    4,218.19x = 39,594,376.42
  5. Step 5: Solve for x
    x = 39,594,376.42/4,218.19
  6. Step 6: Final answer
    x = 9,386.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.