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Finding the Third Proportional to 16,096.50 and 21,534.75

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Solution

The third proportional to 16,096.50 and 21,534.75 is: 28,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.50 : 21,534.75 = 21,534.75 : x
  2. Step 2: Convert to fraction form
    16,096.50/21,534.75 = 21,534.75/x
  3. Step 3: Cross multiply
    16,096.50x = 21,534.75 × 21,534.75
  4. Step 4: Simplify right side
    16,096.50x = 463,745,457.56
  5. Step 5: Solve for x
    x = 463,745,457.56/16,096.50
  6. Step 6: Final answer
    x = 28,810.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.