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Finding the Third Proportional to 15,835 and 23,005

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Solution

The third proportional to 15,835 and 23,005 is: 33,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835 : 23,005 = 23,005 : x
  2. Step 2: Convert to fraction form
    15,835/23,005 = 23,005/x
  3. Step 3: Cross multiply
    15,835x = 23,005 × 23,005
  4. Step 4: Simplify right side
    15,835x = 529,230,025
  5. Step 5: Solve for x
    x = 529,230,025/15,835
  6. Step 6: Final answer
    x = 33,421.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.