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Finding the Third Proportional to 28,185.50 and 43,703

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Solution

The third proportional to 28,185.50 and 43,703 is: 67,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,185.50 : 43,703 = 43,703 : x
  2. Step 2: Convert to fraction form
    28,185.50/43,703 = 43,703/x
  3. Step 3: Cross multiply
    28,185.50x = 43,703 × 43,703
  4. Step 4: Simplify right side
    28,185.50x = 1,909,952,209
  5. Step 5: Solve for x
    x = 1,909,952,209/28,185.50
  6. Step 6: Final answer
    x = 67,763.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.