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Finding the Third Proportional to 15,419 and 36,050

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Solution

The third proportional to 15,419 and 36,050 is: 84,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,419 : 36,050 = 36,050 : x
  2. Step 2: Convert to fraction form
    15,419/36,050 = 36,050/x
  3. Step 3: Cross multiply
    15,419x = 36,050 × 36,050
  4. Step 4: Simplify right side
    15,419x = 1,299,602,500
  5. Step 5: Solve for x
    x = 1,299,602,500/15,419
  6. Step 6: Final answer
    x = 84,285.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.