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Finding the Third Proportional to 10,779 and 16,180.50

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Solution

The third proportional to 10,779 and 16,180.50 is: 24,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779 : 16,180.50 = 16,180.50 : x
  2. Step 2: Convert to fraction form
    10,779/16,180.50 = 16,180.50/x
  3. Step 3: Cross multiply
    10,779x = 16,180.50 × 16,180.50
  4. Step 4: Simplify right side
    10,779x = 261,808,580.25
  5. Step 5: Solve for x
    x = 261,808,580.25/10,779
  6. Step 6: Final answer
    x = 24,288.76

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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.