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Finding the Third Proportional to 12,938.06 and 27,720.56

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Solution

The third proportional to 12,938.06 and 27,720.56 is: 59,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.06 : 27,720.56 = 27,720.56 : x
  2. Step 2: Convert to fraction form
    12,938.06/27,720.56 = 27,720.56/x
  3. Step 3: Cross multiply
    12,938.06x = 27,720.56 × 27,720.56
  4. Step 4: Simplify right side
    12,938.06x = 768,429,585.32
  5. Step 5: Solve for x
    x = 768,429,585.32/12,938.06
  6. Step 6: Final answer
    x = 59,392.94

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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.