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Finding the Third Proportional to 43,670 and 93,570

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Solution

The third proportional to 43,670 and 93,570 is: 200,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,670 : 93,570 = 93,570 : x
  2. Step 2: Convert to fraction form
    43,670/93,570 = 93,570/x
  3. Step 3: Cross multiply
    43,670x = 93,570 × 93,570
  4. Step 4: Simplify right side
    43,670x = 8,755,344,900
  5. Step 5: Solve for x
    x = 8,755,344,900/43,670
  6. Step 6: Final answer
    x = 200,488.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.