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Finding the Third Proportional to 1,864.50 and 4,093.50

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Solution

The third proportional to 1,864.50 and 4,093.50 is: 8,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.50 : 4,093.50 = 4,093.50 : x
  2. Step 2: Convert to fraction form
    1,864.50/4,093.50 = 4,093.50/x
  3. Step 3: Cross multiply
    1,864.50x = 4,093.50 × 4,093.50
  4. Step 4: Simplify right side
    1,864.50x = 16,756,742.25
  5. Step 5: Solve for x
    x = 16,756,742.25/1,864.50
  6. Step 6: Final answer
    x = 8,987.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.