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Finding the Third Proportional to 6,496.63 and 14,032.63

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Solution

The third proportional to 6,496.63 and 14,032.63 is: 30,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.63 : 14,032.63 = 14,032.63 : x
  2. Step 2: Convert to fraction form
    6,496.63/14,032.63 = 14,032.63/x
  3. Step 3: Cross multiply
    6,496.63x = 14,032.63 × 14,032.63
  4. Step 4: Simplify right side
    6,496.63x = 196,914,564.39
  5. Step 5: Solve for x
    x = 196,914,564.39/6,496.63
  6. Step 6: Final answer
    x = 30,310.29

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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.