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Finding the Third Proportional to 968.84 and 2,102.84

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Solution

The third proportional to 968.84 and 2,102.84 is: 4,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 2,102.84 = 2,102.84 : x
  2. Step 2: Convert to fraction form
    968.84/2,102.84 = 2,102.84/x
  3. Step 3: Cross multiply
    968.84x = 2,102.84 × 2,102.84
  4. Step 4: Simplify right side
    968.84x = 4,421,918.98
  5. Step 5: Solve for x
    x = 4,421,918.98/968.84
  6. Step 6: Final answer
    x = 4,564.16

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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.