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Finding the Third Proportional to 1,771.24 and 3,810.16

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Solution

The third proportional to 1,771.24 and 3,810.16 is: 8,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.24 : 3,810.16 = 3,810.16 : x
  2. Step 2: Convert to fraction form
    1,771.24/3,810.16 = 3,810.16/x
  3. Step 3: Cross multiply
    1,771.24x = 3,810.16 × 3,810.16
  4. Step 4: Simplify right side
    1,771.24x = 14,517,350.18
  5. Step 5: Solve for x
    x = 14,517,350.18/1,771.24
  6. Step 6: Final answer
    x = 8,196.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.