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Finding the Third Proportional to 1,974.66 and 2,649.80

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Solution

The third proportional to 1,974.66 and 2,649.80 is: 3,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.66 : 2,649.80 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    1,974.66/2,649.80 = 2,649.80/x
  3. Step 3: Cross multiply
    1,974.66x = 2,649.80 × 2,649.80
  4. Step 4: Simplify right side
    1,974.66x = 7,021,423.48
  5. Step 5: Solve for x
    x = 7,021,423.48/1,974.66
  6. Step 6: Final answer
    x = 3,555.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.