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Finding the Third Proportional to 442.02 and 971.37

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Solution

The third proportional to 442.02 and 971.37 is: 2,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 971.37 = 971.37 : x
  2. Step 2: Convert to fraction form
    442.02/971.37 = 971.37/x
  3. Step 3: Cross multiply
    442.02x = 971.37 × 971.37
  4. Step 4: Simplify right side
    442.02x = 943,554.21
  5. Step 5: Solve for x
    x = 943,554.21/442.02
  6. Step 6: Final answer
    x = 2,134.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.