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Finding the Third Proportional to 13,127.70 and 20,881.86

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Solution

The third proportional to 13,127.70 and 20,881.86 is: 33,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.70 : 20,881.86 = 20,881.86 : x
  2. Step 2: Convert to fraction form
    13,127.70/20,881.86 = 20,881.86/x
  3. Step 3: Cross multiply
    13,127.70x = 20,881.86 × 20,881.86
  4. Step 4: Simplify right side
    13,127.70x = 436,052,214.10
  5. Step 5: Solve for x
    x = 436,052,214.10/13,127.70
  6. Step 6: Final answer
    x = 33,216.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.