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Finding the Third Proportional to 15,827 and 25,063

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Solution

The third proportional to 15,827 and 25,063 is: 39,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827 : 25,063 = 25,063 : x
  2. Step 2: Convert to fraction form
    15,827/25,063 = 25,063/x
  3. Step 3: Cross multiply
    15,827x = 25,063 × 25,063
  4. Step 4: Simplify right side
    15,827x = 628,153,969
  5. Step 5: Solve for x
    x = 628,153,969/15,827
  6. Step 6: Final answer
    x = 39,688.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.