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Finding the Third Proportional to 28,686 and 40,324.50

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Solution

The third proportional to 28,686 and 40,324.50 is: 56,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,686 : 40,324.50 = 40,324.50 : x
  2. Step 2: Convert to fraction form
    28,686/40,324.50 = 40,324.50/x
  3. Step 3: Cross multiply
    28,686x = 40,324.50 × 40,324.50
  4. Step 4: Simplify right side
    28,686x = 1,626,065,300.25
  5. Step 5: Solve for x
    x = 1,626,065,300.25/28,686
  6. Step 6: Final answer
    x = 56,684.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.