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Finding the Third Proportional to 17,829 and 28,255.50

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Solution

The third proportional to 17,829 and 28,255.50 is: 44,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829 : 28,255.50 = 28,255.50 : x
  2. Step 2: Convert to fraction form
    17,829/28,255.50 = 28,255.50/x
  3. Step 3: Cross multiply
    17,829x = 28,255.50 × 28,255.50
  4. Step 4: Simplify right side
    17,829x = 798,373,280.25
  5. Step 5: Solve for x
    x = 798,373,280.25/17,829
  6. Step 6: Final answer
    x = 44,779.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.