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Finding the Third Proportional to 30,801 and 65,490

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Solution

The third proportional to 30,801 and 65,490 is: 139,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801 : 65,490 = 65,490 : x
  2. Step 2: Convert to fraction form
    30,801/65,490 = 65,490/x
  3. Step 3: Cross multiply
    30,801x = 65,490 × 65,490
  4. Step 4: Simplify right side
    30,801x = 4,288,940,100
  5. Step 5: Solve for x
    x = 4,288,940,100/30,801
  6. Step 6: Final answer
    x = 139,246.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.