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Finding the Third Proportional to 19,916 and 27,916

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Solution

The third proportional to 19,916 and 27,916 is: 39,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916 : 27,916 = 27,916 : x
  2. Step 2: Convert to fraction form
    19,916/27,916 = 27,916/x
  3. Step 3: Cross multiply
    19,916x = 27,916 × 27,916
  4. Step 4: Simplify right side
    19,916x = 779,303,056
  5. Step 5: Solve for x
    x = 779,303,056/19,916
  6. Step 6: Final answer
    x = 39,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.