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Finding the Third Proportional to 3,534 and 5,189

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Solution

The third proportional to 3,534 and 5,189 is: 7,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,189 = 5,189 : x
  2. Step 2: Convert to fraction form
    3,534/5,189 = 5,189/x
  3. Step 3: Cross multiply
    3,534x = 5,189 × 5,189
  4. Step 4: Simplify right side
    3,534x = 26,925,721
  5. Step 5: Solve for x
    x = 26,925,721/3,534
  6. Step 6: Final answer
    x = 7,619.05

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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.