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Finding the Third Proportional to 13,425.75 and 29,630.81

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Solution

The third proportional to 13,425.75 and 29,630.81 is: 65,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.75 : 29,630.81 = 29,630.81 : x
  2. Step 2: Convert to fraction form
    13,425.75/29,630.81 = 29,630.81/x
  3. Step 3: Cross multiply
    13,425.75x = 29,630.81 × 29,630.81
  4. Step 4: Simplify right side
    13,425.75x = 877,985,049.41
  5. Step 5: Solve for x
    x = 877,985,049.41/13,425.75
  6. Step 6: Final answer
    x = 65,395.61

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.