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Finding the Third Proportional to 4,932 and 6,466

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Solution

The third proportional to 4,932 and 6,466 is: 8,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 6,466 = 6,466 : x
  2. Step 2: Convert to fraction form
    4,932/6,466 = 6,466/x
  3. Step 3: Cross multiply
    4,932x = 6,466 × 6,466
  4. Step 4: Simplify right side
    4,932x = 41,809,156
  5. Step 5: Solve for x
    x = 41,809,156/4,932
  6. Step 6: Final answer
    x = 8,477.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.