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Finding the Third Proportional to 12,341.88 and 17,636.19

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Solution

The third proportional to 12,341.88 and 17,636.19 is: 25,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.88 : 17,636.19 = 17,636.19 : x
  2. Step 2: Convert to fraction form
    12,341.88/17,636.19 = 17,636.19/x
  3. Step 3: Cross multiply
    12,341.88x = 17,636.19 × 17,636.19
  4. Step 4: Simplify right side
    12,341.88x = 311,035,109.54
  5. Step 5: Solve for x
    x = 311,035,109.54/12,341.88
  6. Step 6: Final answer
    x = 25,201.61

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.