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Finding the Third Proportional to 27,412.50 and 56,979.63

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Solution

The third proportional to 27,412.50 and 56,979.63 is: 118,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.50 : 56,979.63 = 56,979.63 : x
  2. Step 2: Convert to fraction form
    27,412.50/56,979.63 = 56,979.63/x
  3. Step 3: Cross multiply
    27,412.50x = 56,979.63 × 56,979.63
  4. Step 4: Simplify right side
    27,412.50x = 3,246,677,665.14
  5. Step 5: Solve for x
    x = 3,246,677,665.14/27,412.50
  6. Step 6: Final answer
    x = 118,437.85

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.