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Finding the Third Proportional to 27,748.50 and 41,460

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Solution

The third proportional to 27,748.50 and 41,460 is: 61,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.50 : 41,460 = 41,460 : x
  2. Step 2: Convert to fraction form
    27,748.50/41,460 = 41,460/x
  3. Step 3: Cross multiply
    27,748.50x = 41,460 × 41,460
  4. Step 4: Simplify right side
    27,748.50x = 1,718,931,600
  5. Step 5: Solve for x
    x = 1,718,931,600/27,748.50
  6. Step 6: Final answer
    x = 61,946.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.