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Finding the Third Proportional to 12,606.42 and 27,430.74

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Solution

The third proportional to 12,606.42 and 27,430.74 is: 59,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.42 : 27,430.74 = 27,430.74 : x
  2. Step 2: Convert to fraction form
    12,606.42/27,430.74 = 27,430.74/x
  3. Step 3: Cross multiply
    12,606.42x = 27,430.74 × 27,430.74
  4. Step 4: Simplify right side
    12,606.42x = 752,445,414.37
  5. Step 5: Solve for x
    x = 752,445,414.37/12,606.42
  6. Step 6: Final answer
    x = 59,687.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.