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Finding the Third Proportional to 12,000.75 and 26,168.25

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Solution

The third proportional to 12,000.75 and 26,168.25 is: 57,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.75 : 26,168.25 = 26,168.25 : x
  2. Step 2: Convert to fraction form
    12,000.75/26,168.25 = 26,168.25/x
  3. Step 3: Cross multiply
    12,000.75x = 26,168.25 × 26,168.25
  4. Step 4: Simplify right side
    12,000.75x = 684,777,308.06
  5. Step 5: Solve for x
    x = 684,777,308.06/12,000.75
  6. Step 6: Final answer
    x = 57,061.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.