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Finding the Third Proportional to 12,052.55 and 26,178.12

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Solution

The third proportional to 12,052.55 and 26,178.12 is: 56,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.55 : 26,178.12 = 26,178.12 : x
  2. Step 2: Convert to fraction form
    12,052.55/26,178.12 = 26,178.12/x
  3. Step 3: Cross multiply
    12,052.55x = 26,178.12 × 26,178.12
  4. Step 4: Simplify right side
    12,052.55x = 685,293,819.48
  5. Step 5: Solve for x
    x = 685,293,819.48/12,052.55
  6. Step 6: Final answer
    x = 56,858.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.