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Finding the Third Proportional to 1,838.95 and 4,019.63

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Solution

The third proportional to 1,838.95 and 4,019.63 is: 8,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.95 : 4,019.63 = 4,019.63 : x
  2. Step 2: Convert to fraction form
    1,838.95/4,019.63 = 4,019.63/x
  3. Step 3: Cross multiply
    1,838.95x = 4,019.63 × 4,019.63
  4. Step 4: Simplify right side
    1,838.95x = 16,157,385.14
  5. Step 5: Solve for x
    x = 16,157,385.14/1,838.95
  6. Step 6: Final answer
    x = 8,786.19

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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.