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Finding the Third Proportional to 20,175.75 and 42,751.13

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Solution

The third proportional to 20,175.75 and 42,751.13 is: 90,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.75 : 42,751.13 = 42,751.13 : x
  2. Step 2: Convert to fraction form
    20,175.75/42,751.13 = 42,751.13/x
  3. Step 3: Cross multiply
    20,175.75x = 42,751.13 × 42,751.13
  4. Step 4: Simplify right side
    20,175.75x = 1,827,658,688.77
  5. Step 5: Solve for x
    x = 1,827,658,688.77/20,175.75
  6. Step 6: Final answer
    x = 90,586.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.