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Finding the Third Proportional to 5,346 and 8,051

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Solution

The third proportional to 5,346 and 8,051 is: 12,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 8,051 = 8,051 : x
  2. Step 2: Convert to fraction form
    5,346/8,051 = 8,051/x
  3. Step 3: Cross multiply
    5,346x = 8,051 × 8,051
  4. Step 4: Simplify right side
    5,346x = 64,818,601
  5. Step 5: Solve for x
    x = 64,818,601/5,346
  6. Step 6: Final answer
    x = 12,124.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.