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Finding the Third Proportional to 13,101.75 and 20,430.84

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Solution

The third proportional to 13,101.75 and 20,430.84 is: 31,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.75 : 20,430.84 = 20,430.84 : x
  2. Step 2: Convert to fraction form
    13,101.75/20,430.84 = 20,430.84/x
  3. Step 3: Cross multiply
    13,101.75x = 20,430.84 × 20,430.84
  4. Step 4: Simplify right side
    13,101.75x = 417,419,376.34
  5. Step 5: Solve for x
    x = 417,419,376.34/13,101.75
  6. Step 6: Final answer
    x = 31,859.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.