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Finding the Third Proportional to 6,810 and 10,702

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Solution

The third proportional to 6,810 and 10,702 is: 16,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 10,702 = 10,702 : x
  2. Step 2: Convert to fraction form
    6,810/10,702 = 10,702/x
  3. Step 3: Cross multiply
    6,810x = 10,702 × 10,702
  4. Step 4: Simplify right side
    6,810x = 114,532,804
  5. Step 5: Solve for x
    x = 114,532,804/6,810
  6. Step 6: Final answer
    x = 16,818.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.