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Finding the Third Proportional to 7,501.36 and 16,096.22

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Solution

The third proportional to 7,501.36 and 16,096.22 is: 34,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.36 : 16,096.22 = 16,096.22 : x
  2. Step 2: Convert to fraction form
    7,501.36/16,096.22 = 16,096.22/x
  3. Step 3: Cross multiply
    7,501.36x = 16,096.22 × 16,096.22
  4. Step 4: Simplify right side
    7,501.36x = 259,088,258.05
  5. Step 5: Solve for x
    x = 259,088,258.05/7,501.36
  6. Step 6: Final answer
    x = 34,538.84

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Why These Related Problems?

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