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Finding the Third Proportional to 14,640 and 31,500.75

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Solution

The third proportional to 14,640 and 31,500.75 is: 67,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 31,500.75 = 31,500.75 : x
  2. Step 2: Convert to fraction form
    14,640/31,500.75 = 31,500.75/x
  3. Step 3: Cross multiply
    14,640x = 31,500.75 × 31,500.75
  4. Step 4: Simplify right side
    14,640x = 992,297,250.56
  5. Step 5: Solve for x
    x = 992,297,250.56/14,640
  6. Step 6: Final answer
    x = 67,779.87

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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.