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Finding the Third Proportional to 4,189 and 8,513

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Solution

The third proportional to 4,189 and 8,513 is: 17,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 8,513 = 8,513 : x
  2. Step 2: Convert to fraction form
    4,189/8,513 = 8,513/x
  3. Step 3: Cross multiply
    4,189x = 8,513 × 8,513
  4. Step 4: Simplify right side
    4,189x = 72,471,169
  5. Step 5: Solve for x
    x = 72,471,169/4,189
  6. Step 6: Final answer
    x = 17,300.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.