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Finding the Third Proportional to 12,440.25 and 18,984.38

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Solution

The third proportional to 12,440.25 and 18,984.38 is: 28,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.25 : 18,984.38 = 18,984.38 : x
  2. Step 2: Convert to fraction form
    12,440.25/18,984.38 = 18,984.38/x
  3. Step 3: Cross multiply
    12,440.25x = 18,984.38 × 18,984.38
  4. Step 4: Simplify right side
    12,440.25x = 360,406,494.14
  5. Step 5: Solve for x
    x = 360,406,494.14/12,440.25
  6. Step 6: Final answer
    x = 28,971.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.