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Finding the Third Proportional to 3,122.25 and 6,533.06

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Solution

The third proportional to 3,122.25 and 6,533.06 is: 13,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.25 : 6,533.06 = 6,533.06 : x
  2. Step 2: Convert to fraction form
    3,122.25/6,533.06 = 6,533.06/x
  3. Step 3: Cross multiply
    3,122.25x = 6,533.06 × 6,533.06
  4. Step 4: Simplify right side
    3,122.25x = 42,680,905.63
  5. Step 5: Solve for x
    x = 42,680,905.63/3,122.25
  6. Step 6: Final answer
    x = 13,669.92

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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.