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Finding the Third Proportional to 1,838.64 and 4,023.26

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Solution

The third proportional to 1,838.64 and 4,023.26 is: 8,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 4,023.26 = 4,023.26 : x
  2. Step 2: Convert to fraction form
    1,838.64/4,023.26 = 4,023.26/x
  3. Step 3: Cross multiply
    1,838.64x = 4,023.26 × 4,023.26
  4. Step 4: Simplify right side
    1,838.64x = 16,186,650.57
  5. Step 5: Solve for x
    x = 16,186,650.57/1,838.64
  6. Step 6: Final answer
    x = 8,803.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.