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Finding the Third Proportional to 20,670 and 44,773.50

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Solution

The third proportional to 20,670 and 44,773.50 is: 96,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670 : 44,773.50 = 44,773.50 : x
  2. Step 2: Convert to fraction form
    20,670/44,773.50 = 44,773.50/x
  3. Step 3: Cross multiply
    20,670x = 44,773.50 × 44,773.50
  4. Step 4: Simplify right side
    20,670x = 2,004,666,302.25
  5. Step 5: Solve for x
    x = 2,004,666,302.25/20,670
  6. Step 6: Final answer
    x = 96,984.34

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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.