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Finding the Third Proportional to 13,005.56 and 27,848.81

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Solution

The third proportional to 13,005.56 and 27,848.81 is: 59,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.56 : 27,848.81 = 27,848.81 : x
  2. Step 2: Convert to fraction form
    13,005.56/27,848.81 = 27,848.81/x
  3. Step 3: Cross multiply
    13,005.56x = 27,848.81 × 27,848.81
  4. Step 4: Simplify right side
    13,005.56x = 775,556,357.66
  5. Step 5: Solve for x
    x = 775,556,357.66/13,005.56
  6. Step 6: Final answer
    x = 59,632.67

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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.