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Finding the Third Proportional to 6,896 and 10,052

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Solution

The third proportional to 6,896 and 10,052 is: 14,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 10,052 = 10,052 : x
  2. Step 2: Convert to fraction form
    6,896/10,052 = 10,052/x
  3. Step 3: Cross multiply
    6,896x = 10,052 × 10,052
  4. Step 4: Simplify right side
    6,896x = 101,042,704
  5. Step 5: Solve for x
    x = 101,042,704/6,896
  6. Step 6: Final answer
    x = 14,652.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.