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Finding the Third Proportional to 12,983 and 20,048.50

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Solution

The third proportional to 12,983 and 20,048.50 is: 30,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983 : 20,048.50 = 20,048.50 : x
  2. Step 2: Convert to fraction form
    12,983/20,048.50 = 20,048.50/x
  3. Step 3: Cross multiply
    12,983x = 20,048.50 × 20,048.50
  4. Step 4: Simplify right side
    12,983x = 401,942,352.25
  5. Step 5: Solve for x
    x = 401,942,352.25/12,983
  6. Step 6: Final answer
    x = 30,959.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.