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Finding the Third Proportional to 36,504.42 and 78,462.42

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Solution

The third proportional to 36,504.42 and 78,462.42 is: 168,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,504.42 : 78,462.42 = 78,462.42 : x
  2. Step 2: Convert to fraction form
    36,504.42/78,462.42 = 78,462.42/x
  3. Step 3: Cross multiply
    36,504.42x = 78,462.42 × 78,462.42
  4. Step 4: Simplify right side
    36,504.42x = 6,156,351,646.49
  5. Step 5: Solve for x
    x = 6,156,351,646.49/36,504.42
  6. Step 6: Final answer
    x = 168,646.74

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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.