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Finding the Third Proportional to 36,114.19 and 47,931.75

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Solution

The third proportional to 36,114.19 and 47,931.75 is: 63,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.19 : 47,931.75 = 47,931.75 : x
  2. Step 2: Convert to fraction form
    36,114.19/47,931.75 = 47,931.75/x
  3. Step 3: Cross multiply
    36,114.19x = 47,931.75 × 47,931.75
  4. Step 4: Simplify right side
    36,114.19x = 2,297,452,658.06
  5. Step 5: Solve for x
    x = 2,297,452,658.06/36,114.19
  6. Step 6: Final answer
    x = 63,616.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.