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Finding the Third Proportional to 2,978 and 7,033

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Solution

The third proportional to 2,978 and 7,033 is: 16,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 7,033 = 7,033 : x
  2. Step 2: Convert to fraction form
    2,978/7,033 = 7,033/x
  3. Step 3: Cross multiply
    2,978x = 7,033 × 7,033
  4. Step 4: Simplify right side
    2,978x = 49,463,089
  5. Step 5: Solve for x
    x = 49,463,089/2,978
  6. Step 6: Final answer
    x = 16,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.