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Finding the Third Proportional to 12,334.50 and 26,518.50

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Solution

The third proportional to 12,334.50 and 26,518.50 is: 57,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.50 : 26,518.50 = 26,518.50 : x
  2. Step 2: Convert to fraction form
    12,334.50/26,518.50 = 26,518.50/x
  3. Step 3: Cross multiply
    12,334.50x = 26,518.50 × 26,518.50
  4. Step 4: Simplify right side
    12,334.50x = 703,230,842.25
  5. Step 5: Solve for x
    x = 703,230,842.25/12,334.50
  6. Step 6: Final answer
    x = 57,013.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.