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Finding the Third Proportional to 841.01 and 1,813.01

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Solution

The third proportional to 841.01 and 1,813.01 is: 3,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.01 : 1,813.01 = 1,813.01 : x
  2. Step 2: Convert to fraction form
    841.01/1,813.01 = 1,813.01/x
  3. Step 3: Cross multiply
    841.01x = 1,813.01 × 1,813.01
  4. Step 4: Simplify right side
    841.01x = 3,286,997.33
  5. Step 5: Solve for x
    x = 3,286,997.33/841.01
  6. Step 6: Final answer
    x = 3,908.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.