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Finding the Third Proportional to 6,646 and 7,402

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Solution

The third proportional to 6,646 and 7,402 is: 8,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 7,402 = 7,402 : x
  2. Step 2: Convert to fraction form
    6,646/7,402 = 7,402/x
  3. Step 3: Cross multiply
    6,646x = 7,402 × 7,402
  4. Step 4: Simplify right side
    6,646x = 54,789,604
  5. Step 5: Solve for x
    x = 54,789,604/6,646
  6. Step 6: Final answer
    x = 8,244.00

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.