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Finding the Third Proportional to 2,967.26 and 4,459.43

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Solution

The third proportional to 2,967.26 and 4,459.43 is: 6,701.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.26 : 4,459.43 = 4,459.43 : x
  2. Step 2: Convert to fraction form
    2,967.26/4,459.43 = 4,459.43/x
  3. Step 3: Cross multiply
    2,967.26x = 4,459.43 × 4,459.43
  4. Step 4: Simplify right side
    2,967.26x = 19,886,513.14
  5. Step 5: Solve for x
    x = 19,886,513.14/2,967.26
  6. Step 6: Final answer
    x = 6,701.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.