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Finding the Third Proportional to 3,533.25 and 5,191.88

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Solution

The third proportional to 3,533.25 and 5,191.88 is: 7,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.25 : 5,191.88 = 5,191.88 : x
  2. Step 2: Convert to fraction form
    3,533.25/5,191.88 = 5,191.88/x
  3. Step 3: Cross multiply
    3,533.25x = 5,191.88 × 5,191.88
  4. Step 4: Simplify right side
    3,533.25x = 26,955,566.02
  5. Step 5: Solve for x
    x = 26,955,566.02/3,533.25
  6. Step 6: Final answer
    x = 7,629.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.