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Finding the Third Proportional to 4,536.32 and 10,106.33

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Solution

The third proportional to 4,536.32 and 10,106.33 is: 22,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.32 : 10,106.33 = 10,106.33 : x
  2. Step 2: Convert to fraction form
    4,536.32/10,106.33 = 10,106.33/x
  3. Step 3: Cross multiply
    4,536.32x = 10,106.33 × 10,106.33
  4. Step 4: Simplify right side
    4,536.32x = 102,137,947.13
  5. Step 5: Solve for x
    x = 102,137,947.13/4,536.32
  6. Step 6: Final answer
    x = 22,515.61

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.