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Finding the Third Proportional to 4,100.63 and 6,407.23

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Solution

The third proportional to 4,100.63 and 6,407.23 is: 10,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 6,407.23 = 6,407.23 : x
  2. Step 2: Convert to fraction form
    4,100.63/6,407.23 = 6,407.23/x
  3. Step 3: Cross multiply
    4,100.63x = 6,407.23 × 6,407.23
  4. Step 4: Simplify right side
    4,100.63x = 41,052,552.22
  5. Step 5: Solve for x
    x = 41,052,552.22/4,100.63
  6. Step 6: Final answer
    x = 10,011.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.