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Finding the Third Proportional to 19,809 and 33,702.75

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Solution

The third proportional to 19,809 and 33,702.75 is: 57,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809 : 33,702.75 = 33,702.75 : x
  2. Step 2: Convert to fraction form
    19,809/33,702.75 = 33,702.75/x
  3. Step 3: Cross multiply
    19,809x = 33,702.75 × 33,702.75
  4. Step 4: Simplify right side
    19,809x = 1,135,875,357.56
  5. Step 5: Solve for x
    x = 1,135,875,357.56/19,809
  6. Step 6: Final answer
    x = 57,341.38

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.