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Finding the Third Proportional to 883.97 and 1,897.03

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Solution

The third proportional to 883.97 and 1,897.03 is: 4,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.97 : 1,897.03 = 1,897.03 : x
  2. Step 2: Convert to fraction form
    883.97/1,897.03 = 1,897.03/x
  3. Step 3: Cross multiply
    883.97x = 1,897.03 × 1,897.03
  4. Step 4: Simplify right side
    883.97x = 3,598,727.56
  5. Step 5: Solve for x
    x = 3,598,727.56/883.97
  6. Step 6: Final answer
    x = 4,071.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.