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Finding the Third Proportional to 11,186.50 and 16,392.50

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Solution

The third proportional to 11,186.50 and 16,392.50 is: 24,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.50 : 16,392.50 = 16,392.50 : x
  2. Step 2: Convert to fraction form
    11,186.50/16,392.50 = 16,392.50/x
  3. Step 3: Cross multiply
    11,186.50x = 16,392.50 × 16,392.50
  4. Step 4: Simplify right side
    11,186.50x = 268,714,056.25
  5. Step 5: Solve for x
    x = 268,714,056.25/11,186.50
  6. Step 6: Final answer
    x = 24,021.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.