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Finding the Third Proportional to 34,786.69 and 74,492.44

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Solution

The third proportional to 34,786.69 and 74,492.44 is: 159,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.69 : 74,492.44 = 74,492.44 : x
  2. Step 2: Convert to fraction form
    34,786.69/74,492.44 = 74,492.44/x
  3. Step 3: Cross multiply
    34,786.69x = 74,492.44 × 74,492.44
  4. Step 4: Simplify right side
    34,786.69x = 5,549,123,244.69
  5. Step 5: Solve for x
    x = 5,549,123,244.69/34,786.69
  6. Step 6: Final answer
    x = 159,518.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.