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Finding the Third Proportional to 28,542 and 41,716.50

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Solution

The third proportional to 28,542 and 41,716.50 is: 60,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542 : 41,716.50 = 41,716.50 : x
  2. Step 2: Convert to fraction form
    28,542/41,716.50 = 41,716.50/x
  3. Step 3: Cross multiply
    28,542x = 41,716.50 × 41,716.50
  4. Step 4: Simplify right side
    28,542x = 1,740,266,372.25
  5. Step 5: Solve for x
    x = 1,740,266,372.25/28,542
  6. Step 6: Final answer
    x = 60,972.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.