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Finding the Third Proportional to 5,873.63 and 8,054.25

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Solution

The third proportional to 5,873.63 and 8,054.25 is: 11,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.63 : 8,054.25 = 8,054.25 : x
  2. Step 2: Convert to fraction form
    5,873.63/8,054.25 = 8,054.25/x
  3. Step 3: Cross multiply
    5,873.63x = 8,054.25 × 8,054.25
  4. Step 4: Simplify right side
    5,873.63x = 64,870,943.06
  5. Step 5: Solve for x
    x = 64,870,943.06/5,873.63
  6. Step 6: Final answer
    x = 11,044.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.