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Finding the Third Proportional to 5,464.13 and 11,705.34

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Solution

The third proportional to 5,464.13 and 11,705.34 is: 25,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.13 : 11,705.34 = 11,705.34 : x
  2. Step 2: Convert to fraction form
    5,464.13/11,705.34 = 11,705.34/x
  3. Step 3: Cross multiply
    5,464.13x = 11,705.34 × 11,705.34
  4. Step 4: Simplify right side
    5,464.13x = 137,015,072.31
  5. Step 5: Solve for x
    x = 137,015,072.31/5,464.13
  6. Step 6: Final answer
    x = 25,075.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.