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Finding the Third Proportional to 12,431.39 and 26,848.13

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Solution

The third proportional to 12,431.39 and 26,848.13 is: 57,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.39 : 26,848.13 = 26,848.13 : x
  2. Step 2: Convert to fraction form
    12,431.39/26,848.13 = 26,848.13/x
  3. Step 3: Cross multiply
    12,431.39x = 26,848.13 × 26,848.13
  4. Step 4: Simplify right side
    12,431.39x = 720,821,816.02
  5. Step 5: Solve for x
    x = 720,821,816.02/12,431.39
  6. Step 6: Final answer
    x = 57,984.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.