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Finding the Third Proportional to 27,289.41 and 41,663.11

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Solution

The third proportional to 27,289.41 and 41,663.11 is: 63,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,289.41 : 41,663.11 = 41,663.11 : x
  2. Step 2: Convert to fraction form
    27,289.41/41,663.11 = 41,663.11/x
  3. Step 3: Cross multiply
    27,289.41x = 41,663.11 × 41,663.11
  4. Step 4: Simplify right side
    27,289.41x = 1,735,814,682.79
  5. Step 5: Solve for x
    x = 1,735,814,682.79/27,289.41
  6. Step 6: Final answer
    x = 63,607.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.