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Finding the Third Proportional to 451.83 and 981.49

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Solution

The third proportional to 451.83 and 981.49 is: 2,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.83 : 981.49 = 981.49 : x
  2. Step 2: Convert to fraction form
    451.83/981.49 = 981.49/x
  3. Step 3: Cross multiply
    451.83x = 981.49 × 981.49
  4. Step 4: Simplify right side
    451.83x = 963,326.91
  5. Step 5: Solve for x
    x = 963,326.91/451.83
  6. Step 6: Final answer
    x = 2,132.06

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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.