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Finding the Third Proportional to 34,539.22 and 75,653.68

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Solution

The third proportional to 34,539.22 and 75,653.68 is: 165,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539.22 : 75,653.68 = 75,653.68 : x
  2. Step 2: Convert to fraction form
    34,539.22/75,653.68 = 75,653.68/x
  3. Step 3: Cross multiply
    34,539.22x = 75,653.68 × 75,653.68
  4. Step 4: Simplify right side
    34,539.22x = 5,723,479,841.30
  5. Step 5: Solve for x
    x = 5,723,479,841.30/34,539.22
  6. Step 6: Final answer
    x = 165,709.57

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Why These Related Problems?

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