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Finding the Third Proportional to 19,320 and 26,916

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Solution

The third proportional to 19,320 and 26,916 is: 37,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,320 : 26,916 = 26,916 : x
  2. Step 2: Convert to fraction form
    19,320/26,916 = 26,916/x
  3. Step 3: Cross multiply
    19,320x = 26,916 × 26,916
  4. Step 4: Simplify right side
    19,320x = 724,471,056
  5. Step 5: Solve for x
    x = 724,471,056/19,320
  6. Step 6: Final answer
    x = 37,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.