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Finding the Third Proportional to 17,829 and 25,348.50

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Solution

The third proportional to 17,829 and 25,348.50 is: 36,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 25,348.50 = 25,348.50 : x
  2. Step 2: Convert to fraction form
    17,829/25,348.50 = 25,348.50/x
  3. Step 3: Cross multiply
    17,829x = 25,348.50 × 25,348.50
  4. Step 4: Simplify right side
    17,829x = 642,546,452.25
  5. Step 5: Solve for x
    x = 642,546,452.25/17,829
  6. Step 6: Final answer
    x = 36,039.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.