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Finding the Third Proportional to 968.06 and 2,028.94

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Solution

The third proportional to 968.06 and 2,028.94 is: 4,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.06 : 2,028.94 = 2,028.94 : x
  2. Step 2: Convert to fraction form
    968.06/2,028.94 = 2,028.94/x
  3. Step 3: Cross multiply
    968.06x = 2,028.94 × 2,028.94
  4. Step 4: Simplify right side
    968.06x = 4,116,587.38
  5. Step 5: Solve for x
    x = 4,116,587.38/968.06
  6. Step 6: Final answer
    x = 4,252.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.