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Finding the Third Proportional to 16,078 and 23,489

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Solution

The third proportional to 16,078 and 23,489 is: 34,316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078 : 23,489 = 23,489 : x
  2. Step 2: Convert to fraction form
    16,078/23,489 = 23,489/x
  3. Step 3: Cross multiply
    16,078x = 23,489 × 23,489
  4. Step 4: Simplify right side
    16,078x = 551,733,121
  5. Step 5: Solve for x
    x = 551,733,121/16,078
  6. Step 6: Final answer
    x = 34,316.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.