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Finding the Third Proportional to 13,429 and 20,750

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Solution

The third proportional to 13,429 and 20,750 is: 32,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429 : 20,750 = 20,750 : x
  2. Step 2: Convert to fraction form
    13,429/20,750 = 20,750/x
  3. Step 3: Cross multiply
    13,429x = 20,750 × 20,750
  4. Step 4: Simplify right side
    13,429x = 430,562,500
  5. Step 5: Solve for x
    x = 430,562,500/13,429
  6. Step 6: Final answer
    x = 32,062.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.