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Finding the Third Proportional to 20,102.67 and 42,877.16

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Solution

The third proportional to 20,102.67 and 42,877.16 is: 91,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.67 : 42,877.16 = 42,877.16 : x
  2. Step 2: Convert to fraction form
    20,102.67/42,877.16 = 42,877.16/x
  3. Step 3: Cross multiply
    20,102.67x = 42,877.16 × 42,877.16
  4. Step 4: Simplify right side
    20,102.67x = 1,838,450,863.06
  5. Step 5: Solve for x
    x = 1,838,450,863.06/20,102.67
  6. Step 6: Final answer
    x = 91,453.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.