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Finding the Third Proportional to 2,969 and 6,349.50

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Solution

The third proportional to 2,969 and 6,349.50 is: 13,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 6,349.50 = 6,349.50 : x
  2. Step 2: Convert to fraction form
    2,969/6,349.50 = 6,349.50/x
  3. Step 3: Cross multiply
    2,969x = 6,349.50 × 6,349.50
  4. Step 4: Simplify right side
    2,969x = 40,316,150.25
  5. Step 5: Solve for x
    x = 40,316,150.25/2,969
  6. Step 6: Final answer
    x = 13,579.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.