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Finding the Third Proportional to 27,232.88 and 41,628.94

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Solution

The third proportional to 27,232.88 and 41,628.94 is: 63,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232.88 : 41,628.94 = 41,628.94 : x
  2. Step 2: Convert to fraction form
    27,232.88/41,628.94 = 41,628.94/x
  3. Step 3: Cross multiply
    27,232.88x = 41,628.94 × 41,628.94
  4. Step 4: Simplify right side
    27,232.88x = 1,732,968,437.38
  5. Step 5: Solve for x
    x = 1,732,968,437.38/27,232.88
  6. Step 6: Final answer
    x = 63,635.16

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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.