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Finding the Third Proportional to 12,719 and 18,862

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Solution

The third proportional to 12,719 and 18,862 is: 27,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719 : 18,862 = 18,862 : x
  2. Step 2: Convert to fraction form
    12,719/18,862 = 18,862/x
  3. Step 3: Cross multiply
    12,719x = 18,862 × 18,862
  4. Step 4: Simplify right side
    12,719x = 355,775,044
  5. Step 5: Solve for x
    x = 355,775,044/12,719
  6. Step 6: Final answer
    x = 27,971.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.