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Finding the Third Proportional to 18,982.50 and 28,942

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Solution

The third proportional to 18,982.50 and 28,942 is: 44,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,982.50 : 28,942 = 28,942 : x
  2. Step 2: Convert to fraction form
    18,982.50/28,942 = 28,942/x
  3. Step 3: Cross multiply
    18,982.50x = 28,942 × 28,942
  4. Step 4: Simplify right side
    18,982.50x = 837,639,364
  5. Step 5: Solve for x
    x = 837,639,364/18,982.50
  6. Step 6: Final answer
    x = 44,126.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.