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Finding the Third Proportional to 19,839.94 and 26,945.16

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Solution

The third proportional to 19,839.94 and 26,945.16 is: 36,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.94 : 26,945.16 = 26,945.16 : x
  2. Step 2: Convert to fraction form
    19,839.94/26,945.16 = 26,945.16/x
  3. Step 3: Cross multiply
    19,839.94x = 26,945.16 × 26,945.16
  4. Step 4: Simplify right side
    19,839.94x = 726,041,445.34
  5. Step 5: Solve for x
    x = 726,041,445.34/19,839.94
  6. Step 6: Final answer
    x = 36,594.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.