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Finding the Third Proportional to 13,647.75 and 28,461.75

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Solution

The third proportional to 13,647.75 and 28,461.75 is: 59,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.75 : 28,461.75 = 28,461.75 : x
  2. Step 2: Convert to fraction form
    13,647.75/28,461.75 = 28,461.75/x
  3. Step 3: Cross multiply
    13,647.75x = 28,461.75 × 28,461.75
  4. Step 4: Simplify right side
    13,647.75x = 810,071,213.06
  5. Step 5: Solve for x
    x = 810,071,213.06/13,647.75
  6. Step 6: Final answer
    x = 59,355.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.