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Finding the Third Proportional to 8,236.69 and 13,127.06

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Solution

The third proportional to 8,236.69 and 13,127.06 is: 20,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.69 : 13,127.06 = 13,127.06 : x
  2. Step 2: Convert to fraction form
    8,236.69/13,127.06 = 13,127.06/x
  3. Step 3: Cross multiply
    8,236.69x = 13,127.06 × 13,127.06
  4. Step 4: Simplify right side
    8,236.69x = 172,319,769.88
  5. Step 5: Solve for x
    x = 172,319,769.88/8,236.69
  6. Step 6: Final answer
    x = 20,921.00

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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.