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Finding the Third Proportional to 1,788.75 and 3,911.63

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Solution

The third proportional to 1,788.75 and 3,911.63 is: 8,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.75 : 3,911.63 = 3,911.63 : x
  2. Step 2: Convert to fraction form
    1,788.75/3,911.63 = 3,911.63/x
  3. Step 3: Cross multiply
    1,788.75x = 3,911.63 × 3,911.63
  4. Step 4: Simplify right side
    1,788.75x = 15,300,810.14
  5. Step 5: Solve for x
    x = 15,300,810.14/1,788.75
  6. Step 6: Final answer
    x = 8,553.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.