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Finding the Third Proportional to 15,834 and 34,050

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Solution

The third proportional to 15,834 and 34,050 is: 73,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834 : 34,050 = 34,050 : x
  2. Step 2: Convert to fraction form
    15,834/34,050 = 34,050/x
  3. Step 3: Cross multiply
    15,834x = 34,050 × 34,050
  4. Step 4: Simplify right side
    15,834x = 1,159,402,500
  5. Step 5: Solve for x
    x = 1,159,402,500/15,834
  6. Step 6: Final answer
    x = 73,222.34

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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.