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Finding the Third Proportional to 28,685.44 and 40,323.84

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Solution

The third proportional to 28,685.44 and 40,323.84 is: 56,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,685.44 : 40,323.84 = 40,323.84 : x
  2. Step 2: Convert to fraction form
    28,685.44/40,323.84 = 40,323.84/x
  3. Step 3: Cross multiply
    28,685.44x = 40,323.84 × 40,323.84
  4. Step 4: Simplify right side
    28,685.44x = 1,626,012,374.77
  5. Step 5: Solve for x
    x = 1,626,012,374.77/28,685.44
  6. Step 6: Final answer
    x = 56,684.25

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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.