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Finding the Third Proportional to 12,783.94 and 27,344.25

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Solution

The third proportional to 12,783.94 and 27,344.25 is: 58,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.94 : 27,344.25 = 27,344.25 : x
  2. Step 2: Convert to fraction form
    12,783.94/27,344.25 = 27,344.25/x
  3. Step 3: Cross multiply
    12,783.94x = 27,344.25 × 27,344.25
  4. Step 4: Simplify right side
    12,783.94x = 747,708,008.06
  5. Step 5: Solve for x
    x = 747,708,008.06/12,783.94
  6. Step 6: Final answer
    x = 58,488.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.