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Finding the Third Proportional to 14,629.99 and 31,480.52

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Solution

The third proportional to 14,629.99 and 31,480.52 is: 67,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.99 : 31,480.52 = 31,480.52 : x
  2. Step 2: Convert to fraction form
    14,629.99/31,480.52 = 31,480.52/x
  3. Step 3: Cross multiply
    14,629.99x = 31,480.52 × 31,480.52
  4. Step 4: Simplify right side
    14,629.99x = 991,023,355.90
  5. Step 5: Solve for x
    x = 991,023,355.90/14,629.99
  6. Step 6: Final answer
    x = 67,739.16

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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.