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Finding the Third Proportional to 1,230 and 2,983.50

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Solution

The third proportional to 1,230 and 2,983.50 is: 7,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230 : 2,983.50 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    1,230/2,983.50 = 2,983.50/x
  3. Step 3: Cross multiply
    1,230x = 2,983.50 × 2,983.50
  4. Step 4: Simplify right side
    1,230x = 8,901,272.25
  5. Step 5: Solve for x
    x = 8,901,272.25/1,230
  6. Step 6: Final answer
    x = 7,236.81

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.