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Finding the Third Proportional to 12,642.75 and 30,506.63

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Solution

The third proportional to 12,642.75 and 30,506.63 is: 73,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.75 : 30,506.63 = 30,506.63 : x
  2. Step 2: Convert to fraction form
    12,642.75/30,506.63 = 30,506.63/x
  3. Step 3: Cross multiply
    12,642.75x = 30,506.63 × 30,506.63
  4. Step 4: Simplify right side
    12,642.75x = 930,654,168.89
  5. Step 5: Solve for x
    x = 930,654,168.89/12,642.75
  6. Step 6: Final answer
    x = 73,611.69

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.