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Finding the Third Proportional to 8,346 and 12,127

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Solution

The third proportional to 8,346 and 12,127 is: 17,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346 : 12,127 = 12,127 : x
  2. Step 2: Convert to fraction form
    8,346/12,127 = 12,127/x
  3. Step 3: Cross multiply
    8,346x = 12,127 × 12,127
  4. Step 4: Simplify right side
    8,346x = 147,064,129
  5. Step 5: Solve for x
    x = 147,064,129/8,346
  6. Step 6: Final answer
    x = 17,620.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.