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Finding the Third Proportional to 1,890 and 4,152.94

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Solution

The third proportional to 1,890 and 4,152.94 is: 9,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890 : 4,152.94 = 4,152.94 : x
  2. Step 2: Convert to fraction form
    1,890/4,152.94 = 4,152.94/x
  3. Step 3: Cross multiply
    1,890x = 4,152.94 × 4,152.94
  4. Step 4: Simplify right side
    1,890x = 17,246,889.88
  5. Step 5: Solve for x
    x = 17,246,889.88/1,890
  6. Step 6: Final answer
    x = 9,125.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.