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Finding the Third Proportional to 27,165.56 and 41,555.63

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Solution

The third proportional to 27,165.56 and 41,555.63 is: 63,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.56 : 41,555.63 = 41,555.63 : x
  2. Step 2: Convert to fraction form
    27,165.56/41,555.63 = 41,555.63/x
  3. Step 3: Cross multiply
    27,165.56x = 41,555.63 × 41,555.63
  4. Step 4: Simplify right side
    27,165.56x = 1,726,869,969.14
  5. Step 5: Solve for x
    x = 1,726,869,969.14/27,165.56
  6. Step 6: Final answer
    x = 63,568.35

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Why These Related Problems?

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