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Finding the Third Proportional to 27,663.82 and 59,271.96

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Solution

The third proportional to 27,663.82 and 59,271.96 is: 126,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.82 : 59,271.96 = 59,271.96 : x
  2. Step 2: Convert to fraction form
    27,663.82/59,271.96 = 59,271.96/x
  3. Step 3: Cross multiply
    27,663.82x = 59,271.96 × 59,271.96
  4. Step 4: Simplify right side
    27,663.82x = 3,513,165,353.38
  5. Step 5: Solve for x
    x = 3,513,165,353.38/27,663.82
  6. Step 6: Final answer
    x = 126,994.95

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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.