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Finding the Third Proportional to 4,741.03 and 10,261.69

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Solution

The third proportional to 4,741.03 and 10,261.69 is: 22,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.03 : 10,261.69 = 10,261.69 : x
  2. Step 2: Convert to fraction form
    4,741.03/10,261.69 = 10,261.69/x
  3. Step 3: Cross multiply
    4,741.03x = 10,261.69 × 10,261.69
  4. Step 4: Simplify right side
    4,741.03x = 105,302,230.35
  5. Step 5: Solve for x
    x = 105,302,230.35/4,741.03
  6. Step 6: Final answer
    x = 22,210.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.