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Finding the Third Proportional to 968.06 and 2,119.22

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Solution

The third proportional to 968.06 and 2,119.22 is: 4,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.06 : 2,119.22 = 2,119.22 : x
  2. Step 2: Convert to fraction form
    968.06/2,119.22 = 2,119.22/x
  3. Step 3: Cross multiply
    968.06x = 2,119.22 × 2,119.22
  4. Step 4: Simplify right side
    968.06x = 4,491,088.11
  5. Step 5: Solve for x
    x = 4,491,088.11/968.06
  6. Step 6: Final answer
    x = 4,639.25

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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.