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Finding the Third Proportional to 27,576 and 59,536

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Solution

The third proportional to 27,576 and 59,536 is: 128,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 59,536 = 59,536 : x
  2. Step 2: Convert to fraction form
    27,576/59,536 = 59,536/x
  3. Step 3: Cross multiply
    27,576x = 59,536 × 59,536
  4. Step 4: Simplify right side
    27,576x = 3,544,535,296
  5. Step 5: Solve for x
    x = 3,544,535,296/27,576
  6. Step 6: Final answer
    x = 128,536.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.