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Finding the Third Proportional to 26,748.56 and 56,762.44

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Solution

The third proportional to 26,748.56 and 56,762.44 is: 120,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,748.56 : 56,762.44 = 56,762.44 : x
  2. Step 2: Convert to fraction form
    26,748.56/56,762.44 = 56,762.44/x
  3. Step 3: Cross multiply
    26,748.56x = 56,762.44 × 56,762.44
  4. Step 4: Simplify right side
    26,748.56x = 3,221,974,310.94
  5. Step 5: Solve for x
    x = 3,221,974,310.94/26,748.56
  6. Step 6: Final answer
    x = 120,454.11

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.