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Finding the Third Proportional to 1,775.44 and 3,734.63

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Solution

The third proportional to 1,775.44 and 3,734.63 is: 7,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.44 : 3,734.63 = 3,734.63 : x
  2. Step 2: Convert to fraction form
    1,775.44/3,734.63 = 3,734.63/x
  3. Step 3: Cross multiply
    1,775.44x = 3,734.63 × 3,734.63
  4. Step 4: Simplify right side
    1,775.44x = 13,947,423.89
  5. Step 5: Solve for x
    x = 13,947,423.89/1,775.44
  6. Step 6: Final answer
    x = 7,855.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.