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Finding the Third Proportional to 6,466 and 9,447

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Solution

The third proportional to 6,466 and 9,447 is: 13,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 9,447 = 9,447 : x
  2. Step 2: Convert to fraction form
    6,466/9,447 = 9,447/x
  3. Step 3: Cross multiply
    6,466x = 9,447 × 9,447
  4. Step 4: Simplify right side
    6,466x = 89,245,809
  5. Step 5: Solve for x
    x = 89,245,809/6,466
  6. Step 6: Final answer
    x = 13,802.32

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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.