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Finding the Third Proportional to 5,504.63 and 10,733.63

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Solution

The third proportional to 5,504.63 and 10,733.63 is: 20,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.63 : 10,733.63 = 10,733.63 : x
  2. Step 2: Convert to fraction form
    5,504.63/10,733.63 = 10,733.63/x
  3. Step 3: Cross multiply
    5,504.63x = 10,733.63 × 10,733.63
  4. Step 4: Simplify right side
    5,504.63x = 115,210,705.64
  5. Step 5: Solve for x
    x = 115,210,705.64/5,504.63
  6. Step 6: Final answer
    x = 20,929.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.