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Finding the Third Proportional to 1,054.69 and 1,560.94

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Solution

The third proportional to 1,054.69 and 1,560.94 is: 2,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,560.94 = 1,560.94 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,560.94 = 1,560.94/x
  3. Step 3: Cross multiply
    1,054.69x = 1,560.94 × 1,560.94
  4. Step 4: Simplify right side
    1,054.69x = 2,436,525.88
  5. Step 5: Solve for x
    x = 2,436,525.88/1,054.69
  6. Step 6: Final answer
    x = 2,310.19

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.