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Finding the Third Proportional to 2,859 and 7,000.50

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Solution

The third proportional to 2,859 and 7,000.50 is: 17,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859 : 7,000.50 = 7,000.50 : x
  2. Step 2: Convert to fraction form
    2,859/7,000.50 = 7,000.50/x
  3. Step 3: Cross multiply
    2,859x = 7,000.50 × 7,000.50
  4. Step 4: Simplify right side
    2,859x = 49,007,000.25
  5. Step 5: Solve for x
    x = 49,007,000.25/2,859
  6. Step 6: Final answer
    x = 17,141.31

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.