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Finding the Third Proportional to 893.04 and 1,847.11

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Solution

The third proportional to 893.04 and 1,847.11 is: 3,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.04 : 1,847.11 = 1,847.11 : x
  2. Step 2: Convert to fraction form
    893.04/1,847.11 = 1,847.11/x
  3. Step 3: Cross multiply
    893.04x = 1,847.11 × 1,847.11
  4. Step 4: Simplify right side
    893.04x = 3,411,813.04
  5. Step 5: Solve for x
    x = 3,411,813.04/893.04
  6. Step 6: Final answer
    x = 3,820.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.