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Finding the Third Proportional to 15,872.50 and 30,305

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Solution

The third proportional to 15,872.50 and 30,305 is: 57,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.50 : 30,305 = 30,305 : x
  2. Step 2: Convert to fraction form
    15,872.50/30,305 = 30,305/x
  3. Step 3: Cross multiply
    15,872.50x = 30,305 × 30,305
  4. Step 4: Simplify right side
    15,872.50x = 918,393,025
  5. Step 5: Solve for x
    x = 918,393,025/15,872.50
  6. Step 6: Final answer
    x = 57,860.64

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.