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Finding the Third Proportional to 20,443.50 and 45,594

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Solution

The third proportional to 20,443.50 and 45,594 is: 101,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.50 : 45,594 = 45,594 : x
  2. Step 2: Convert to fraction form
    20,443.50/45,594 = 45,594/x
  3. Step 3: Cross multiply
    20,443.50x = 45,594 × 45,594
  4. Step 4: Simplify right side
    20,443.50x = 2,078,812,836
  5. Step 5: Solve for x
    x = 2,078,812,836/20,443.50
  6. Step 6: Final answer
    x = 101,685.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.