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Finding the Third Proportional to 13,096.69 and 16,810.03

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Solution

The third proportional to 13,096.69 and 16,810.03 is: 21,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.69 : 16,810.03 = 16,810.03 : x
  2. Step 2: Convert to fraction form
    13,096.69/16,810.03 = 16,810.03/x
  3. Step 3: Cross multiply
    13,096.69x = 16,810.03 × 16,810.03
  4. Step 4: Simplify right side
    13,096.69x = 282,577,150.63
  5. Step 5: Solve for x
    x = 282,577,150.63/13,096.69
  6. Step 6: Final answer
    x = 21,576.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.