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Finding the Third Proportional to 7,740.56 and 16,480.97

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Solution

The third proportional to 7,740.56 and 16,480.97 is: 35,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.56 : 16,480.97 = 16,480.97 : x
  2. Step 2: Convert to fraction form
    7,740.56/16,480.97 = 16,480.97/x
  3. Step 3: Cross multiply
    7,740.56x = 16,480.97 × 16,480.97
  4. Step 4: Simplify right side
    7,740.56x = 271,622,330.94
  5. Step 5: Solve for x
    x = 271,622,330.94/7,740.56
  6. Step 6: Final answer
    x = 35,090.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.