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Finding the Third Proportional to 13,186.50 and 23,450.25

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Solution

The third proportional to 13,186.50 and 23,450.25 is: 41,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.50 : 23,450.25 = 23,450.25 : x
  2. Step 2: Convert to fraction form
    13,186.50/23,450.25 = 23,450.25/x
  3. Step 3: Cross multiply
    13,186.50x = 23,450.25 × 23,450.25
  4. Step 4: Simplify right side
    13,186.50x = 549,914,225.06
  5. Step 5: Solve for x
    x = 549,914,225.06/13,186.50
  6. Step 6: Final answer
    x = 41,702.82

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.