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Finding the Third Proportional to 8,570 and 18,416

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Solution

The third proportional to 8,570 and 18,416 is: 39,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 18,416 = 18,416 : x
  2. Step 2: Convert to fraction form
    8,570/18,416 = 18,416/x
  3. Step 3: Cross multiply
    8,570x = 18,416 × 18,416
  4. Step 4: Simplify right side
    8,570x = 339,149,056
  5. Step 5: Solve for x
    x = 339,149,056/8,570
  6. Step 6: Final answer
    x = 39,573.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.