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Finding the Third Proportional to 15,269 and 32,846.50

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Solution

The third proportional to 15,269 and 32,846.50 is: 70,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269 : 32,846.50 = 32,846.50 : x
  2. Step 2: Convert to fraction form
    15,269/32,846.50 = 32,846.50/x
  3. Step 3: Cross multiply
    15,269x = 32,846.50 × 32,846.50
  4. Step 4: Simplify right side
    15,269x = 1,078,892,562.25
  5. Step 5: Solve for x
    x = 1,078,892,562.25/15,269
  6. Step 6: Final answer
    x = 70,659.02

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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.