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Finding the Third Proportional to 1,750.99 and 2,664.77

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Solution

The third proportional to 1,750.99 and 2,664.77 is: 4,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.99 : 2,664.77 = 2,664.77 : x
  2. Step 2: Convert to fraction form
    1,750.99/2,664.77 = 2,664.77/x
  3. Step 3: Cross multiply
    1,750.99x = 2,664.77 × 2,664.77
  4. Step 4: Simplify right side
    1,750.99x = 7,101,017.47
  5. Step 5: Solve for x
    x = 7,101,017.47/1,750.99
  6. Step 6: Final answer
    x = 4,055.42

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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.