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Finding the Third Proportional to 27,675.63 and 59,288.38

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Solution

The third proportional to 27,675.63 and 59,288.38 is: 127,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.63 : 59,288.38 = 59,288.38 : x
  2. Step 2: Convert to fraction form
    27,675.63/59,288.38 = 59,288.38/x
  3. Step 3: Cross multiply
    27,675.63x = 59,288.38 × 59,288.38
  4. Step 4: Simplify right side
    27,675.63x = 3,515,111,410.14
  5. Step 5: Solve for x
    x = 3,515,111,410.14/27,675.63
  6. Step 6: Final answer
    x = 127,011.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.