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Finding the Third Proportional to 11,533.01 and 16,664.48

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Solution

The third proportional to 11,533.01 and 16,664.48 is: 24,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.01 : 16,664.48 = 16,664.48 : x
  2. Step 2: Convert to fraction form
    11,533.01/16,664.48 = 16,664.48/x
  3. Step 3: Cross multiply
    11,533.01x = 16,664.48 × 16,664.48
  4. Step 4: Simplify right side
    11,533.01x = 277,705,039.48
  5. Step 5: Solve for x
    x = 277,705,039.48/11,533.01
  6. Step 6: Final answer
    x = 24,079.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.