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Finding the Third Proportional to 2,112.96 and 3,092.55

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Solution

The third proportional to 2,112.96 and 3,092.55 is: 4,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.96 : 3,092.55 = 3,092.55 : x
  2. Step 2: Convert to fraction form
    2,112.96/3,092.55 = 3,092.55/x
  3. Step 3: Cross multiply
    2,112.96x = 3,092.55 × 3,092.55
  4. Step 4: Simplify right side
    2,112.96x = 9,563,894.50
  5. Step 5: Solve for x
    x = 9,563,894.50/2,112.96
  6. Step 6: Final answer
    x = 4,526.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.