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Finding the Third Proportional to 34,573.39 and 75,656.53

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Solution

The third proportional to 34,573.39 and 75,656.53 is: 165,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,573.39 : 75,656.53 = 75,656.53 : x
  2. Step 2: Convert to fraction form
    34,573.39/75,656.53 = 75,656.53/x
  3. Step 3: Cross multiply
    34,573.39x = 75,656.53 × 75,656.53
  4. Step 4: Simplify right side
    34,573.39x = 5,723,910,720.78
  5. Step 5: Solve for x
    x = 5,723,910,720.78/34,573.39
  6. Step 6: Final answer
    x = 165,558.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.