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Finding the Third Proportional to 20,510 and 48,389

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Solution

The third proportional to 20,510 and 48,389 is: 114,163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510 : 48,389 = 48,389 : x
  2. Step 2: Convert to fraction form
    20,510/48,389 = 48,389/x
  3. Step 3: Cross multiply
    20,510x = 48,389 × 48,389
  4. Step 4: Simplify right side
    20,510x = 2,341,495,321
  5. Step 5: Solve for x
    x = 2,341,495,321/20,510
  6. Step 6: Final answer
    x = 114,163.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.