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Finding the Third Proportional to 23,495.50 and 50,659

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Solution

The third proportional to 23,495.50 and 50,659 is: 109,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.50 : 50,659 = 50,659 : x
  2. Step 2: Convert to fraction form
    23,495.50/50,659 = 50,659/x
  3. Step 3: Cross multiply
    23,495.50x = 50,659 × 50,659
  4. Step 4: Simplify right side
    23,495.50x = 2,566,334,281
  5. Step 5: Solve for x
    x = 2,566,334,281/23,495.50
  6. Step 6: Final answer
    x = 109,226.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.