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Finding the Third Proportional to 1,970.25 and 2,996.25

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Solution

The third proportional to 1,970.25 and 2,996.25 is: 4,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.25 : 2,996.25 = 2,996.25 : x
  2. Step 2: Convert to fraction form
    1,970.25/2,996.25 = 2,996.25/x
  3. Step 3: Cross multiply
    1,970.25x = 2,996.25 × 2,996.25
  4. Step 4: Simplify right side
    1,970.25x = 8,977,514.06
  5. Step 5: Solve for x
    x = 8,977,514.06/1,970.25
  6. Step 6: Final answer
    x = 4,556.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.