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Finding the Third Proportional to 981.49 and 2,064.23

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Solution

The third proportional to 981.49 and 2,064.23 is: 4,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.49 : 2,064.23 = 2,064.23 : x
  2. Step 2: Convert to fraction form
    981.49/2,064.23 = 2,064.23/x
  3. Step 3: Cross multiply
    981.49x = 2,064.23 × 2,064.23
  4. Step 4: Simplify right side
    981.49x = 4,261,063.55
  5. Step 5: Solve for x
    x = 4,261,063.55/981.49
  6. Step 6: Final answer
    x = 4,341.41

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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.