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Finding the Third Proportional to 34,383.66 and 52,597.69

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Solution

The third proportional to 34,383.66 and 52,597.69 is: 80,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,383.66 : 52,597.69 = 52,597.69 : x
  2. Step 2: Convert to fraction form
    34,383.66/52,597.69 = 52,597.69/x
  3. Step 3: Cross multiply
    34,383.66x = 52,597.69 × 52,597.69
  4. Step 4: Simplify right side
    34,383.66x = 2,766,516,730.35
  5. Step 5: Solve for x
    x = 2,766,516,730.35/34,383.66
  6. Step 6: Final answer
    x = 80,460.23

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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.