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Finding the Third Proportional to 3,122.34 and 6,533.34

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Solution

The third proportional to 3,122.34 and 6,533.34 is: 13,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.34 : 6,533.34 = 6,533.34 : x
  2. Step 2: Convert to fraction form
    3,122.34/6,533.34 = 6,533.34/x
  3. Step 3: Cross multiply
    3,122.34x = 6,533.34 × 6,533.34
  4. Step 4: Simplify right side
    3,122.34x = 42,684,580.56
  5. Step 5: Solve for x
    x = 42,684,580.56/3,122.34
  6. Step 6: Final answer
    x = 13,670.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.