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Finding the Third Proportional to 20,847.50 and 45,367

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Solution

The third proportional to 20,847.50 and 45,367 is: 98,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.50 : 45,367 = 45,367 : x
  2. Step 2: Convert to fraction form
    20,847.50/45,367 = 45,367/x
  3. Step 3: Cross multiply
    20,847.50x = 45,367 × 45,367
  4. Step 4: Simplify right side
    20,847.50x = 2,058,164,689
  5. Step 5: Solve for x
    x = 2,058,164,689/20,847.50
  6. Step 6: Final answer
    x = 98,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.