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Finding the Third Proportional to 10,619.44 and 22,109.63

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Solution

The third proportional to 10,619.44 and 22,109.63 is: 46,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.44 : 22,109.63 = 22,109.63 : x
  2. Step 2: Convert to fraction form
    10,619.44/22,109.63 = 22,109.63/x
  3. Step 3: Cross multiply
    10,619.44x = 22,109.63 × 22,109.63
  4. Step 4: Simplify right side
    10,619.44x = 488,835,517.64
  5. Step 5: Solve for x
    x = 488,835,517.64/10,619.44
  6. Step 6: Final answer
    x = 46,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.