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Finding the Third Proportional to 21,543 and 32,184.75

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Solution

The third proportional to 21,543 and 32,184.75 is: 48,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543 : 32,184.75 = 32,184.75 : x
  2. Step 2: Convert to fraction form
    21,543/32,184.75 = 32,184.75/x
  3. Step 3: Cross multiply
    21,543x = 32,184.75 × 32,184.75
  4. Step 4: Simplify right side
    21,543x = 1,035,858,132.56
  5. Step 5: Solve for x
    x = 1,035,858,132.56/21,543
  6. Step 6: Final answer
    x = 48,083.28

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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.