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Finding the Third Proportional to 2,153.78 and 3,048.89

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Solution

The third proportional to 2,153.78 and 3,048.89 is: 4,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.78 : 3,048.89 = 3,048.89 : x
  2. Step 2: Convert to fraction form
    2,153.78/3,048.89 = 3,048.89/x
  3. Step 3: Cross multiply
    2,153.78x = 3,048.89 × 3,048.89
  4. Step 4: Simplify right side
    2,153.78x = 9,295,734.04
  5. Step 5: Solve for x
    x = 9,295,734.04/2,153.78
  6. Step 6: Final answer
    x = 4,316.01

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.