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Finding the Third Proportional to 897.01 and 1,942.10

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Solution

The third proportional to 897.01 and 1,942.10 is: 4,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.01 : 1,942.10 = 1,942.10 : x
  2. Step 2: Convert to fraction form
    897.01/1,942.10 = 1,942.10/x
  3. Step 3: Cross multiply
    897.01x = 1,942.10 × 1,942.10
  4. Step 4: Simplify right side
    897.01x = 3,771,758.48
  5. Step 5: Solve for x
    x = 3,771,758.48/897.01
  6. Step 6: Final answer
    x = 4,204.80

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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.