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Finding the Third Proportional to 13,516.63 and 29,664.63

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Solution

The third proportional to 13,516.63 and 29,664.63 is: 65,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.63 : 29,664.63 = 29,664.63 : x
  2. Step 2: Convert to fraction form
    13,516.63/29,664.63 = 29,664.63/x
  3. Step 3: Cross multiply
    13,516.63x = 29,664.63 × 29,664.63
  4. Step 4: Simplify right side
    13,516.63x = 879,989,976.39
  5. Step 5: Solve for x
    x = 879,989,976.39/13,516.63
  6. Step 6: Final answer
    x = 65,104.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.