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Finding the Third Proportional to 14,386.36 and 18,504.07

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Solution

The third proportional to 14,386.36 and 18,504.07 is: 23,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.36 : 18,504.07 = 18,504.07 : x
  2. Step 2: Convert to fraction form
    14,386.36/18,504.07 = 18,504.07/x
  3. Step 3: Cross multiply
    14,386.36x = 18,504.07 × 18,504.07
  4. Step 4: Simplify right side
    14,386.36x = 342,400,618.13
  5. Step 5: Solve for x
    x = 342,400,618.13/14,386.36
  6. Step 6: Final answer
    x = 23,800.37

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.