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Finding the Third Proportional to 1,784.95 and 3,838.22

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Solution

The third proportional to 1,784.95 and 3,838.22 is: 8,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.95 : 3,838.22 = 3,838.22 : x
  2. Step 2: Convert to fraction form
    1,784.95/3,838.22 = 3,838.22/x
  3. Step 3: Cross multiply
    1,784.95x = 3,838.22 × 3,838.22
  4. Step 4: Simplify right side
    1,784.95x = 14,731,923.17
  5. Step 5: Solve for x
    x = 14,731,923.17/1,784.95
  6. Step 6: Final answer
    x = 8,253.39

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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.