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Finding the Third Proportional to 20,142.50 and 43,633

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Solution

The third proportional to 20,142.50 and 43,633 is: 94,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.50 : 43,633 = 43,633 : x
  2. Step 2: Convert to fraction form
    20,142.50/43,633 = 43,633/x
  3. Step 3: Cross multiply
    20,142.50x = 43,633 × 43,633
  4. Step 4: Simplify right side
    20,142.50x = 1,903,838,689
  5. Step 5: Solve for x
    x = 1,903,838,689/20,142.50
  6. Step 6: Final answer
    x = 94,518.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.