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Finding the Third Proportional to 15,762 and 34,149

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Solution

The third proportional to 15,762 and 34,149 is: 73,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762 : 34,149 = 34,149 : x
  2. Step 2: Convert to fraction form
    15,762/34,149 = 34,149/x
  3. Step 3: Cross multiply
    15,762x = 34,149 × 34,149
  4. Step 4: Simplify right side
    15,762x = 1,166,154,201
  5. Step 5: Solve for x
    x = 1,166,154,201/15,762
  6. Step 6: Final answer
    x = 73,985.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.