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Finding the Third Proportional to 13,403.25 and 29,450.25

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Solution

The third proportional to 13,403.25 and 29,450.25 is: 64,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.25 : 29,450.25 = 29,450.25 : x
  2. Step 2: Convert to fraction form
    13,403.25/29,450.25 = 29,450.25/x
  3. Step 3: Cross multiply
    13,403.25x = 29,450.25 × 29,450.25
  4. Step 4: Simplify right side
    13,403.25x = 867,317,225.06
  5. Step 5: Solve for x
    x = 867,317,225.06/13,403.25
  6. Step 6: Final answer
    x = 64,709.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.