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Finding the Third Proportional to 21,162.38 and 45,969.75

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Solution

The third proportional to 21,162.38 and 45,969.75 is: 99,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.38 : 45,969.75 = 45,969.75 : x
  2. Step 2: Convert to fraction form
    21,162.38/45,969.75 = 45,969.75/x
  3. Step 3: Cross multiply
    21,162.38x = 45,969.75 × 45,969.75
  4. Step 4: Simplify right side
    21,162.38x = 2,113,217,915.06
  5. Step 5: Solve for x
    x = 2,113,217,915.06/21,162.38
  6. Step 6: Final answer
    x = 99,857.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.