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Finding the Third Proportional to 9,455.63 and 20,642.25

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Solution

The third proportional to 9,455.63 and 20,642.25 is: 45,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.63 : 20,642.25 = 20,642.25 : x
  2. Step 2: Convert to fraction form
    9,455.63/20,642.25 = 20,642.25/x
  3. Step 3: Cross multiply
    9,455.63x = 20,642.25 × 20,642.25
  4. Step 4: Simplify right side
    9,455.63x = 426,102,485.06
  5. Step 5: Solve for x
    x = 426,102,485.06/9,455.63
  6. Step 6: Final answer
    x = 45,063.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.