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Finding the Third Proportional to 36,446.63 and 78,429.38

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Solution

The third proportional to 36,446.63 and 78,429.38 is: 168,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,446.63 : 78,429.38 = 78,429.38 : x
  2. Step 2: Convert to fraction form
    36,446.63/78,429.38 = 78,429.38/x
  3. Step 3: Cross multiply
    36,446.63x = 78,429.38 × 78,429.38
  4. Step 4: Simplify right side
    36,446.63x = 6,151,166,862.89
  5. Step 5: Solve for x
    x = 6,151,166,862.89/36,446.63
  6. Step 6: Final answer
    x = 168,771.92

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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.