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Finding the Third Proportional to 12,996 and 20,045.25

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Solution

The third proportional to 12,996 and 20,045.25 is: 30,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996 : 20,045.25 = 20,045.25 : x
  2. Step 2: Convert to fraction form
    12,996/20,045.25 = 20,045.25/x
  3. Step 3: Cross multiply
    12,996x = 20,045.25 × 20,045.25
  4. Step 4: Simplify right side
    12,996x = 401,812,047.56
  5. Step 5: Solve for x
    x = 401,812,047.56/12,996
  6. Step 6: Final answer
    x = 30,918.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.