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Finding the Third Proportional to 2,771.30 and 6,409.02

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Solution

The third proportional to 2,771.30 and 6,409.02 is: 14,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.30 : 6,409.02 = 6,409.02 : x
  2. Step 2: Convert to fraction form
    2,771.30/6,409.02 = 6,409.02/x
  3. Step 3: Cross multiply
    2,771.30x = 6,409.02 × 6,409.02
  4. Step 4: Simplify right side
    2,771.30x = 41,075,531.35
  5. Step 5: Solve for x
    x = 41,075,531.35/2,771.30
  6. Step 6: Final answer
    x = 14,821.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.