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Finding the Third Proportional to 27,174 and 41,818.50

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Solution

The third proportional to 27,174 and 41,818.50 is: 64,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 41,818.50 = 41,818.50 : x
  2. Step 2: Convert to fraction form
    27,174/41,818.50 = 41,818.50/x
  3. Step 3: Cross multiply
    27,174x = 41,818.50 × 41,818.50
  4. Step 4: Simplify right side
    27,174x = 1,748,786,942.25
  5. Step 5: Solve for x
    x = 1,748,786,942.25/27,174
  6. Step 6: Final answer
    x = 64,355.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.