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Finding the Third Proportional to 1,970.58 and 4,266.42

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Solution

The third proportional to 1,970.58 and 4,266.42 is: 9,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.58 : 4,266.42 = 4,266.42 : x
  2. Step 2: Convert to fraction form
    1,970.58/4,266.42 = 4,266.42/x
  3. Step 3: Cross multiply
    1,970.58x = 4,266.42 × 4,266.42
  4. Step 4: Simplify right side
    1,970.58x = 18,202,355.62
  5. Step 5: Solve for x
    x = 18,202,355.62/1,970.58
  6. Step 6: Final answer
    x = 9,237.06

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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.