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Finding the Third Proportional to 11,685.09 and 17,649.14

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Solution

The third proportional to 11,685.09 and 17,649.14 is: 26,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.09 : 17,649.14 = 17,649.14 : x
  2. Step 2: Convert to fraction form
    11,685.09/17,649.14 = 17,649.14/x
  3. Step 3: Cross multiply
    11,685.09x = 17,649.14 × 17,649.14
  4. Step 4: Simplify right side
    11,685.09x = 311,492,164.80
  5. Step 5: Solve for x
    x = 311,492,164.80/11,685.09
  6. Step 6: Final answer
    x = 26,657.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.