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Finding the Third Proportional to 2,971 and 4,105.50

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Solution

The third proportional to 2,971 and 4,105.50 is: 5,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 4,105.50 = 4,105.50 : x
  2. Step 2: Convert to fraction form
    2,971/4,105.50 = 4,105.50/x
  3. Step 3: Cross multiply
    2,971x = 4,105.50 × 4,105.50
  4. Step 4: Simplify right side
    2,971x = 16,855,130.25
  5. Step 5: Solve for x
    x = 16,855,130.25/2,971
  6. Step 6: Final answer
    x = 5,673.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.