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Finding the Third Proportional to 14,441.41 and 19,316.60

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Solution

The third proportional to 14,441.41 and 19,316.60 is: 25,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.41 : 19,316.60 = 19,316.60 : x
  2. Step 2: Convert to fraction form
    14,441.41/19,316.60 = 19,316.60/x
  3. Step 3: Cross multiply
    14,441.41x = 19,316.60 × 19,316.60
  4. Step 4: Simplify right side
    14,441.41x = 373,131,095.92
  5. Step 5: Solve for x
    x = 373,131,095.92/14,441.41
  6. Step 6: Final answer
    x = 25,837.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.