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Finding the Third Proportional to 20,100.02 and 42,869.25

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Solution

The third proportional to 20,100.02 and 42,869.25 is: 91,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.02 : 42,869.25 = 42,869.25 : x
  2. Step 2: Convert to fraction form
    20,100.02/42,869.25 = 42,869.25/x
  3. Step 3: Cross multiply
    20,100.02x = 42,869.25 × 42,869.25
  4. Step 4: Simplify right side
    20,100.02x = 1,837,772,595.56
  5. Step 5: Solve for x
    x = 1,837,772,595.56/20,100.02
  6. Step 6: Final answer
    x = 91,431.37

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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.