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Finding the Third Proportional to 968.44 and 2,116.88

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Solution

The third proportional to 968.44 and 2,116.88 is: 4,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 2,116.88 = 2,116.88 : x
  2. Step 2: Convert to fraction form
    968.44/2,116.88 = 2,116.88/x
  3. Step 3: Cross multiply
    968.44x = 2,116.88 × 2,116.88
  4. Step 4: Simplify right side
    968.44x = 4,481,159.77
  5. Step 5: Solve for x
    x = 4,481,159.77/968.44
  6. Step 6: Final answer
    x = 4,627.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.