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Finding the Third Proportional to 35,612.16 and 76,709.53

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Solution

The third proportional to 35,612.16 and 76,709.53 is: 165,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,612.16 : 76,709.53 = 76,709.53 : x
  2. Step 2: Convert to fraction form
    35,612.16/76,709.53 = 76,709.53/x
  3. Step 3: Cross multiply
    35,612.16x = 76,709.53 × 76,709.53
  4. Step 4: Simplify right side
    35,612.16x = 5,884,352,184.59
  5. Step 5: Solve for x
    x = 5,884,352,184.59/35,612.16
  6. Step 6: Final answer
    x = 165,234.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.