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Finding the Third Proportional to 16,071 and 34,390

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Solution

The third proportional to 16,071 and 34,390 is: 73,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071 : 34,390 = 34,390 : x
  2. Step 2: Convert to fraction form
    16,071/34,390 = 34,390/x
  3. Step 3: Cross multiply
    16,071x = 34,390 × 34,390
  4. Step 4: Simplify right side
    16,071x = 1,182,672,100
  5. Step 5: Solve for x
    x = 1,182,672,100/16,071
  6. Step 6: Final answer
    x = 73,590.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.