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Finding the Third Proportional to 3,821.63 and 5,374.13

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Solution

The third proportional to 3,821.63 and 5,374.13 is: 7,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.63 : 5,374.13 = 5,374.13 : x
  2. Step 2: Convert to fraction form
    3,821.63/5,374.13 = 5,374.13/x
  3. Step 3: Cross multiply
    3,821.63x = 5,374.13 × 5,374.13
  4. Step 4: Simplify right side
    3,821.63x = 28,881,219.52
  5. Step 5: Solve for x
    x = 28,881,219.52/3,821.63
  6. Step 6: Final answer
    x = 7,557.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.