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Finding the Third Proportional to 16,429 and 25,125

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Solution

The third proportional to 16,429 and 25,125 is: 38,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429 : 25,125 = 25,125 : x
  2. Step 2: Convert to fraction form
    16,429/25,125 = 25,125/x
  3. Step 3: Cross multiply
    16,429x = 25,125 × 25,125
  4. Step 4: Simplify right side
    16,429x = 631,265,625
  5. Step 5: Solve for x
    x = 631,265,625/16,429
  6. Step 6: Final answer
    x = 38,423.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.