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Finding the Third Proportional to 20,235 and 44,020.50

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Solution

The third proportional to 20,235 and 44,020.50 is: 95,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235 : 44,020.50 = 44,020.50 : x
  2. Step 2: Convert to fraction form
    20,235/44,020.50 = 44,020.50/x
  3. Step 3: Cross multiply
    20,235x = 44,020.50 × 44,020.50
  4. Step 4: Simplify right side
    20,235x = 1,937,804,420.25
  5. Step 5: Solve for x
    x = 1,937,804,420.25/20,235
  6. Step 6: Final answer
    x = 95,764.98

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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.