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Finding the Third Proportional to 4,441.08 and 9,776.11

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Solution

The third proportional to 4,441.08 and 9,776.11 is: 21,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.08 : 9,776.11 = 9,776.11 : x
  2. Step 2: Convert to fraction form
    4,441.08/9,776.11 = 9,776.11/x
  3. Step 3: Cross multiply
    4,441.08x = 9,776.11 × 9,776.11
  4. Step 4: Simplify right side
    4,441.08x = 95,572,314.51
  5. Step 5: Solve for x
    x = 95,572,314.51/4,441.08
  6. Step 6: Final answer
    x = 21,520.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.