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Finding the Third Proportional to 15,777 and 34,014

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Solution

The third proportional to 15,777 and 34,014 is: 73,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 34,014 = 34,014 : x
  2. Step 2: Convert to fraction form
    15,777/34,014 = 34,014/x
  3. Step 3: Cross multiply
    15,777x = 34,014 × 34,014
  4. Step 4: Simplify right side
    15,777x = 1,156,952,196
  5. Step 5: Solve for x
    x = 1,156,952,196/15,777
  6. Step 6: Final answer
    x = 73,331.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.