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Finding the Third Proportional to 14,122.41 and 30,431.53

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Solution

The third proportional to 14,122.41 and 30,431.53 is: 65,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.41 : 30,431.53 = 30,431.53 : x
  2. Step 2: Convert to fraction form
    14,122.41/30,431.53 = 30,431.53/x
  3. Step 3: Cross multiply
    14,122.41x = 30,431.53 × 30,431.53
  4. Step 4: Simplify right side
    14,122.41x = 926,078,094.22
  5. Step 5: Solve for x
    x = 926,078,094.22/14,122.41
  6. Step 6: Final answer
    x = 65,575.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.