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Finding the Third Proportional to 7,435.48 and 16,096.01

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Solution

The third proportional to 7,435.48 and 16,096.01 is: 34,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.48 : 16,096.01 = 16,096.01 : x
  2. Step 2: Convert to fraction form
    7,435.48/16,096.01 = 16,096.01/x
  3. Step 3: Cross multiply
    7,435.48x = 16,096.01 × 16,096.01
  4. Step 4: Simplify right side
    7,435.48x = 259,081,467.50
  5. Step 5: Solve for x
    x = 259,081,467.50/7,435.48
  6. Step 6: Final answer
    x = 34,843.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.