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Finding the Third Proportional to 6,976 and 16,570

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Solution

The third proportional to 6,976 and 16,570 is: 39,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 16,570 = 16,570 : x
  2. Step 2: Convert to fraction form
    6,976/16,570 = 16,570/x
  3. Step 3: Cross multiply
    6,976x = 16,570 × 16,570
  4. Step 4: Simplify right side
    6,976x = 274,564,900
  5. Step 5: Solve for x
    x = 274,564,900/6,976
  6. Step 6: Final answer
    x = 39,358.50

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.