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Finding the Third Proportional to 20,827.13 and 43,041.38

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Solution

The third proportional to 20,827.13 and 43,041.38 is: 88,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.13 : 43,041.38 = 43,041.38 : x
  2. Step 2: Convert to fraction form
    20,827.13/43,041.38 = 43,041.38/x
  3. Step 3: Cross multiply
    20,827.13x = 43,041.38 × 43,041.38
  4. Step 4: Simplify right side
    20,827.13x = 1,852,559,961.89
  5. Step 5: Solve for x
    x = 1,852,559,961.89/20,827.13
  6. Step 6: Final answer
    x = 88,949.39

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.