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Finding the Third Proportional to 28,042.50 and 41,820

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Solution

The third proportional to 28,042.50 and 41,820 is: 62,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042.50 : 41,820 = 41,820 : x
  2. Step 2: Convert to fraction form
    28,042.50/41,820 = 41,820/x
  3. Step 3: Cross multiply
    28,042.50x = 41,820 × 41,820
  4. Step 4: Simplify right side
    28,042.50x = 1,748,912,400
  5. Step 5: Solve for x
    x = 1,748,912,400/28,042.50
  6. Step 6: Final answer
    x = 62,366.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.