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Finding the Third Proportional to 9,634.15 and 21,109.36

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Solution

The third proportional to 9,634.15 and 21,109.36 is: 46,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.15 : 21,109.36 = 21,109.36 : x
  2. Step 2: Convert to fraction form
    9,634.15/21,109.36 = 21,109.36/x
  3. Step 3: Cross multiply
    9,634.15x = 21,109.36 × 21,109.36
  4. Step 4: Simplify right side
    9,634.15x = 445,605,053.22
  5. Step 5: Solve for x
    x = 445,605,053.22/9,634.15
  6. Step 6: Final answer
    x = 46,252.67

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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.