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Finding the Third Proportional to 4,106.32 and 5,851.93

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Solution

The third proportional to 4,106.32 and 5,851.93 is: 8,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.32 : 5,851.93 = 5,851.93 : x
  2. Step 2: Convert to fraction form
    4,106.32/5,851.93 = 5,851.93/x
  3. Step 3: Cross multiply
    4,106.32x = 5,851.93 × 5,851.93
  4. Step 4: Simplify right side
    4,106.32x = 34,245,126.79
  5. Step 5: Solve for x
    x = 34,245,126.79/4,106.32
  6. Step 6: Final answer
    x = 8,339.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.