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Finding the Third Proportional to 13,693.50 and 28,035.75

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Solution

The third proportional to 13,693.50 and 28,035.75 is: 57,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.50 : 28,035.75 = 28,035.75 : x
  2. Step 2: Convert to fraction form
    13,693.50/28,035.75 = 28,035.75/x
  3. Step 3: Cross multiply
    13,693.50x = 28,035.75 × 28,035.75
  4. Step 4: Simplify right side
    13,693.50x = 786,003,278.06
  5. Step 5: Solve for x
    x = 786,003,278.06/13,693.50
  6. Step 6: Final answer
    x = 57,399.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.