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Finding the Third Proportional to 12,600 and 19,967

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Solution

The third proportional to 12,600 and 19,967 is: 31,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,600 : 19,967 = 19,967 : x
  2. Step 2: Convert to fraction form
    12,600/19,967 = 19,967/x
  3. Step 3: Cross multiply
    12,600x = 19,967 × 19,967
  4. Step 4: Simplify right side
    12,600x = 398,681,089
  5. Step 5: Solve for x
    x = 398,681,089/12,600
  6. Step 6: Final answer
    x = 31,641.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.