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Finding the Third Proportional to 16,005 and 25,143

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Solution

The third proportional to 16,005 and 25,143 is: 39,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005 : 25,143 = 25,143 : x
  2. Step 2: Convert to fraction form
    16,005/25,143 = 25,143/x
  3. Step 3: Cross multiply
    16,005x = 25,143 × 25,143
  4. Step 4: Simplify right side
    16,005x = 632,170,449
  5. Step 5: Solve for x
    x = 632,170,449/16,005
  6. Step 6: Final answer
    x = 39,498.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.