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Finding the Third Proportional to 12,820.88 and 26,937.56

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Solution

The third proportional to 12,820.88 and 26,937.56 is: 56,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.88 : 26,937.56 = 26,937.56 : x
  2. Step 2: Convert to fraction form
    12,820.88/26,937.56 = 26,937.56/x
  3. Step 3: Cross multiply
    12,820.88x = 26,937.56 × 26,937.56
  4. Step 4: Simplify right side
    12,820.88x = 725,632,273.44
  5. Step 5: Solve for x
    x = 725,632,273.44/12,820.88
  6. Step 6: Final answer
    x = 56,597.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.