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Finding the Third Proportional to 971.44 and 2,097.56

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Solution

The third proportional to 971.44 and 2,097.56 is: 4,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.44 : 2,097.56 = 2,097.56 : x
  2. Step 2: Convert to fraction form
    971.44/2,097.56 = 2,097.56/x
  3. Step 3: Cross multiply
    971.44x = 2,097.56 × 2,097.56
  4. Step 4: Simplify right side
    971.44x = 4,399,768.44
  5. Step 5: Solve for x
    x = 4,399,768.44/971.44
  6. Step 6: Final answer
    x = 4,529.13

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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.