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Finding the Third Proportional to 12,914 and 19,877

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Solution

The third proportional to 12,914 and 19,877 is: 30,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 19,877 = 19,877 : x
  2. Step 2: Convert to fraction form
    12,914/19,877 = 19,877/x
  3. Step 3: Cross multiply
    12,914x = 19,877 × 19,877
  4. Step 4: Simplify right side
    12,914x = 395,095,129
  5. Step 5: Solve for x
    x = 395,095,129/12,914
  6. Step 6: Final answer
    x = 30,594.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.