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Finding the Third Proportional to 13,657.50 and 27,859.50

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Solution

The third proportional to 13,657.50 and 27,859.50 is: 56,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.50 : 27,859.50 = 27,859.50 : x
  2. Step 2: Convert to fraction form
    13,657.50/27,859.50 = 27,859.50/x
  3. Step 3: Cross multiply
    13,657.50x = 27,859.50 × 27,859.50
  4. Step 4: Simplify right side
    13,657.50x = 776,151,740.25
  5. Step 5: Solve for x
    x = 776,151,740.25/13,657.50
  6. Step 6: Final answer
    x = 56,829.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.