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Finding the Third Proportional to 1,847.75 and 4,106.13

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Solution

The third proportional to 1,847.75 and 4,106.13 is: 9,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.75 : 4,106.13 = 4,106.13 : x
  2. Step 2: Convert to fraction form
    1,847.75/4,106.13 = 4,106.13/x
  3. Step 3: Cross multiply
    1,847.75x = 4,106.13 × 4,106.13
  4. Step 4: Simplify right side
    1,847.75x = 16,860,262.52
  5. Step 5: Solve for x
    x = 16,860,262.52/1,847.75
  6. Step 6: Final answer
    x = 9,124.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.