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Finding the Third Proportional to 1,978 and 4,784.50

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Solution

The third proportional to 1,978 and 4,784.50 is: 11,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978 : 4,784.50 = 4,784.50 : x
  2. Step 2: Convert to fraction form
    1,978/4,784.50 = 4,784.50/x
  3. Step 3: Cross multiply
    1,978x = 4,784.50 × 4,784.50
  4. Step 4: Simplify right side
    1,978x = 22,891,440.25
  5. Step 5: Solve for x
    x = 22,891,440.25/1,978
  6. Step 6: Final answer
    x = 11,573.02

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.