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Finding the Third Proportional to 1,871.86 and 3,476.04

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Solution

The third proportional to 1,871.86 and 3,476.04 is: 6,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.86 : 3,476.04 = 3,476.04 : x
  2. Step 2: Convert to fraction form
    1,871.86/3,476.04 = 3,476.04/x
  3. Step 3: Cross multiply
    1,871.86x = 3,476.04 × 3,476.04
  4. Step 4: Simplify right side
    1,871.86x = 12,082,847.56
  5. Step 5: Solve for x
    x = 12,082,847.56/1,871.86
  6. Step 6: Final answer
    x = 6,455.00

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.