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Finding the Third Proportional to 7,844 and 12,614

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Solution

The third proportional to 7,844 and 12,614 is: 20,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844 : 12,614 = 12,614 : x
  2. Step 2: Convert to fraction form
    7,844/12,614 = 12,614/x
  3. Step 3: Cross multiply
    7,844x = 12,614 × 12,614
  4. Step 4: Simplify right side
    7,844x = 159,112,996
  5. Step 5: Solve for x
    x = 159,112,996/7,844
  6. Step 6: Final answer
    x = 20,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.