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Finding the Third Proportional to 13,983 and 20,977.50

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Solution

The third proportional to 13,983 and 20,977.50 is: 31,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 20,977.50 = 20,977.50 : x
  2. Step 2: Convert to fraction form
    13,983/20,977.50 = 20,977.50/x
  3. Step 3: Cross multiply
    13,983x = 20,977.50 × 20,977.50
  4. Step 4: Simplify right side
    13,983x = 440,055,506.25
  5. Step 5: Solve for x
    x = 440,055,506.25/13,983
  6. Step 6: Final answer
    x = 31,470.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.