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Finding the Third Proportional to 20,482.50 and 43,026

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Solution

The third proportional to 20,482.50 and 43,026 is: 90,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.50 : 43,026 = 43,026 : x
  2. Step 2: Convert to fraction form
    20,482.50/43,026 = 43,026/x
  3. Step 3: Cross multiply
    20,482.50x = 43,026 × 43,026
  4. Step 4: Simplify right side
    20,482.50x = 1,851,236,676
  5. Step 5: Solve for x
    x = 1,851,236,676/20,482.50
  6. Step 6: Final answer
    x = 90,381.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.