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Finding the Third Proportional to 968.88 and 2,101.94

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Solution

The third proportional to 968.88 and 2,101.94 is: 4,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.88 : 2,101.94 = 2,101.94 : x
  2. Step 2: Convert to fraction form
    968.88/2,101.94 = 2,101.94/x
  3. Step 3: Cross multiply
    968.88x = 2,101.94 × 2,101.94
  4. Step 4: Simplify right side
    968.88x = 4,418,141.25
  5. Step 5: Solve for x
    x = 4,418,141.25/968.88
  6. Step 6: Final answer
    x = 4,560.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.