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Finding the Third Proportional to 1,263.09 and 1,895.91

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Solution

The third proportional to 1,263.09 and 1,895.91 is: 2,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.09 : 1,895.91 = 1,895.91 : x
  2. Step 2: Convert to fraction form
    1,263.09/1,895.91 = 1,895.91/x
  3. Step 3: Cross multiply
    1,263.09x = 1,895.91 × 1,895.91
  4. Step 4: Simplify right side
    1,263.09x = 3,594,460.51
  5. Step 5: Solve for x
    x = 3,594,460.51/1,263.09
  6. Step 6: Final answer
    x = 2,845.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.