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Finding the Third Proportional to 859.68 and 1,856.04

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Solution

The third proportional to 859.68 and 1,856.04 is: 4,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,856.04 = 1,856.04 : x
  2. Step 2: Convert to fraction form
    859.68/1,856.04 = 1,856.04/x
  3. Step 3: Cross multiply
    859.68x = 1,856.04 × 1,856.04
  4. Step 4: Simplify right side
    859.68x = 3,444,881.00
  5. Step 5: Solve for x
    x = 3,444,881.00/859.68
  6. Step 6: Final answer
    x = 4,007.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.