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Finding the Third Proportional to 1,838 and 4,007.50

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Solution

The third proportional to 1,838 and 4,007.50 is: 8,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838 : 4,007.50 = 4,007.50 : x
  2. Step 2: Convert to fraction form
    1,838/4,007.50 = 4,007.50/x
  3. Step 3: Cross multiply
    1,838x = 4,007.50 × 4,007.50
  4. Step 4: Simplify right side
    1,838x = 16,060,056.25
  5. Step 5: Solve for x
    x = 16,060,056.25/1,838
  6. Step 6: Final answer
    x = 8,737.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.