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Finding the Third Proportional to 30,821.96 and 67,352.77

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Solution

The third proportional to 30,821.96 and 67,352.77 is: 147,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.96 : 67,352.77 = 67,352.77 : x
  2. Step 2: Convert to fraction form
    30,821.96/67,352.77 = 67,352.77/x
  3. Step 3: Cross multiply
    30,821.96x = 67,352.77 × 67,352.77
  4. Step 4: Simplify right side
    30,821.96x = 4,536,395,037.34
  5. Step 5: Solve for x
    x = 4,536,395,037.34/30,821.96
  6. Step 6: Final answer
    x = 147,180.60

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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.