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Finding the Third Proportional to 34,310.25 and 52,457.63

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Solution

The third proportional to 34,310.25 and 52,457.63 is: 80,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,310.25 : 52,457.63 = 52,457.63 : x
  2. Step 2: Convert to fraction form
    34,310.25/52,457.63 = 52,457.63/x
  3. Step 3: Cross multiply
    34,310.25x = 52,457.63 × 52,457.63
  4. Step 4: Simplify right side
    34,310.25x = 2,751,802,420.64
  5. Step 5: Solve for x
    x = 2,751,802,420.64/34,310.25
  6. Step 6: Final answer
    x = 80,203.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.