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Finding the Third Proportional to 36,541.13 and 79,683.75

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Solution

The third proportional to 36,541.13 and 79,683.75 is: 173,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.13 : 79,683.75 = 79,683.75 : x
  2. Step 2: Convert to fraction form
    36,541.13/79,683.75 = 79,683.75/x
  3. Step 3: Cross multiply
    36,541.13x = 79,683.75 × 79,683.75
  4. Step 4: Simplify right side
    36,541.13x = 6,349,500,014.06
  5. Step 5: Solve for x
    x = 6,349,500,014.06/36,541.13
  6. Step 6: Final answer
    x = 173,763.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.