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Finding the Third Proportional to 1,864.13 and 4,011.75

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Solution

The third proportional to 1,864.13 and 4,011.75 is: 8,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.13 : 4,011.75 = 4,011.75 : x
  2. Step 2: Convert to fraction form
    1,864.13/4,011.75 = 4,011.75/x
  3. Step 3: Cross multiply
    1,864.13x = 4,011.75 × 4,011.75
  4. Step 4: Simplify right side
    1,864.13x = 16,094,138.06
  5. Step 5: Solve for x
    x = 16,094,138.06/1,864.13
  6. Step 6: Final answer
    x = 8,633.62

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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.