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Finding the Third Proportional to 27,709.88 and 59,358.38

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Solution

The third proportional to 27,709.88 and 59,358.38 is: 127,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.88 : 59,358.38 = 59,358.38 : x
  2. Step 2: Convert to fraction form
    27,709.88/59,358.38 = 59,358.38/x
  3. Step 3: Cross multiply
    27,709.88x = 59,358.38 × 59,358.38
  4. Step 4: Simplify right side
    27,709.88x = 3,523,416,682.64
  5. Step 5: Solve for x
    x = 3,523,416,682.64/27,709.88
  6. Step 6: Final answer
    x = 127,153.83

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