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Finding the Third Proportional to 20,992.50 and 45,225

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Solution

The third proportional to 20,992.50 and 45,225 is: 97,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.50 : 45,225 = 45,225 : x
  2. Step 2: Convert to fraction form
    20,992.50/45,225 = 45,225/x
  3. Step 3: Cross multiply
    20,992.50x = 45,225 × 45,225
  4. Step 4: Simplify right side
    20,992.50x = 2,045,300,625
  5. Step 5: Solve for x
    x = 2,045,300,625/20,992.50
  6. Step 6: Final answer
    x = 97,430.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.