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Finding the Third Proportional to 4,026.38 and 6,159.66

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Solution

The third proportional to 4,026.38 and 6,159.66 is: 9,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.38 : 6,159.66 = 6,159.66 : x
  2. Step 2: Convert to fraction form
    4,026.38/6,159.66 = 6,159.66/x
  3. Step 3: Cross multiply
    4,026.38x = 6,159.66 × 6,159.66
  4. Step 4: Simplify right side
    4,026.38x = 37,941,365.12
  5. Step 5: Solve for x
    x = 37,941,365.12/4,026.38
  6. Step 6: Final answer
    x = 9,423.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.