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Finding the Third Proportional to 4,905.56 and 10,543.92

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Solution

The third proportional to 4,905.56 and 10,543.92 is: 22,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.56 : 10,543.92 = 10,543.92 : x
  2. Step 2: Convert to fraction form
    4,905.56/10,543.92 = 10,543.92/x
  3. Step 3: Cross multiply
    4,905.56x = 10,543.92 × 10,543.92
  4. Step 4: Simplify right side
    4,905.56x = 111,174,288.51
  5. Step 5: Solve for x
    x = 111,174,288.51/4,905.56
  6. Step 6: Final answer
    x = 22,662.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.