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Finding the Third Proportional to 4,070 and 8,447

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Solution

The third proportional to 4,070 and 8,447 is: 17,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 8,447 = 8,447 : x
  2. Step 2: Convert to fraction form
    4,070/8,447 = 8,447/x
  3. Step 3: Cross multiply
    4,070x = 8,447 × 8,447
  4. Step 4: Simplify right side
    4,070x = 71,351,809
  5. Step 5: Solve for x
    x = 71,351,809/4,070
  6. Step 6: Final answer
    x = 17,531.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.