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Finding the Third Proportional to 16,340 and 24,558

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Solution

The third proportional to 16,340 and 24,558 is: 36,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340 : 24,558 = 24,558 : x
  2. Step 2: Convert to fraction form
    16,340/24,558 = 24,558/x
  3. Step 3: Cross multiply
    16,340x = 24,558 × 24,558
  4. Step 4: Simplify right side
    16,340x = 603,095,364
  5. Step 5: Solve for x
    x = 603,095,364/16,340
  6. Step 6: Final answer
    x = 36,909.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.