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Finding the Third Proportional to 16,402 and 25,330

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Solution

The third proportional to 16,402 and 25,330 is: 39,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402 : 25,330 = 25,330 : x
  2. Step 2: Convert to fraction form
    16,402/25,330 = 25,330/x
  3. Step 3: Cross multiply
    16,402x = 25,330 × 25,330
  4. Step 4: Simplify right side
    16,402x = 641,608,900
  5. Step 5: Solve for x
    x = 641,608,900/16,402
  6. Step 6: Final answer
    x = 39,117.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.