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Finding the Third Proportional to 6,402 and 6,946

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Solution

The third proportional to 6,402 and 6,946 is: 7,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 6,946 = 6,946 : x
  2. Step 2: Convert to fraction form
    6,402/6,946 = 6,946/x
  3. Step 3: Cross multiply
    6,402x = 6,946 × 6,946
  4. Step 4: Simplify right side
    6,402x = 48,246,916
  5. Step 5: Solve for x
    x = 48,246,916/6,402
  6. Step 6: Final answer
    x = 7,536.23

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.