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Finding the Third Proportional to 3,904 and 10,570

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Solution

The third proportional to 3,904 and 10,570 is: 28,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904 : 10,570 = 10,570 : x
  2. Step 2: Convert to fraction form
    3,904/10,570 = 10,570/x
  3. Step 3: Cross multiply
    3,904x = 10,570 × 10,570
  4. Step 4: Simplify right side
    3,904x = 111,724,900
  5. Step 5: Solve for x
    x = 111,724,900/3,904
  6. Step 6: Final answer
    x = 28,618.06

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.