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Finding the Third Proportional to 13,020.75 and 18,483.19

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Solution

The third proportional to 13,020.75 and 18,483.19 is: 26,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 18,483.19 = 18,483.19 : x
  2. Step 2: Convert to fraction form
    13,020.75/18,483.19 = 18,483.19/x
  3. Step 3: Cross multiply
    13,020.75x = 18,483.19 × 18,483.19
  4. Step 4: Simplify right side
    13,020.75x = 341,628,220.16
  5. Step 5: Solve for x
    x = 341,628,220.16/13,020.75
  6. Step 6: Final answer
    x = 26,237.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.