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Finding the Third Proportional to 1,784.81 and 3,843.70

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Solution

The third proportional to 1,784.81 and 3,843.70 is: 8,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.81 : 3,843.70 = 3,843.70 : x
  2. Step 2: Convert to fraction form
    1,784.81/3,843.70 = 3,843.70/x
  3. Step 3: Cross multiply
    1,784.81x = 3,843.70 × 3,843.70
  4. Step 4: Simplify right side
    1,784.81x = 14,774,053.71
  5. Step 5: Solve for x
    x = 14,774,053.71/1,784.81
  6. Step 6: Final answer
    x = 8,277.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.