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Finding the Third Proportional to 981.13 and 2,062.94

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Solution

The third proportional to 981.13 and 2,062.94 is: 4,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.13 : 2,062.94 = 2,062.94 : x
  2. Step 2: Convert to fraction form
    981.13/2,062.94 = 2,062.94/x
  3. Step 3: Cross multiply
    981.13x = 2,062.94 × 2,062.94
  4. Step 4: Simplify right side
    981.13x = 4,255,711.13
  5. Step 5: Solve for x
    x = 4,255,711.13/981.13
  6. Step 6: Final answer
    x = 4,337.58

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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.