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Finding the Third Proportional to 981.38 and 1,454.06

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Solution

The third proportional to 981.38 and 1,454.06 is: 2,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.38 : 1,454.06 = 1,454.06 : x
  2. Step 2: Convert to fraction form
    981.38/1,454.06 = 1,454.06/x
  3. Step 3: Cross multiply
    981.38x = 1,454.06 × 1,454.06
  4. Step 4: Simplify right side
    981.38x = 2,114,297.75
  5. Step 5: Solve for x
    x = 2,114,297.75/981.38
  6. Step 6: Final answer
    x = 2,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.