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Finding the Third Proportional to 16,412.63 and 35,481.38

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Solution

The third proportional to 16,412.63 and 35,481.38 is: 76,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.63 : 35,481.38 = 35,481.38 : x
  2. Step 2: Convert to fraction form
    16,412.63/35,481.38 = 35,481.38/x
  3. Step 3: Cross multiply
    16,412.63x = 35,481.38 × 35,481.38
  4. Step 4: Simplify right side
    16,412.63x = 1,258,927,971.89
  5. Step 5: Solve for x
    x = 1,258,927,971.89/16,412.63
  6. Step 6: Final answer
    x = 76,704.85

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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.