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Finding the Third Proportional to 27,126.50 and 41,998.50

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Solution

The third proportional to 27,126.50 and 41,998.50 is: 65,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,126.50 : 41,998.50 = 41,998.50 : x
  2. Step 2: Convert to fraction form
    27,126.50/41,998.50 = 41,998.50/x
  3. Step 3: Cross multiply
    27,126.50x = 41,998.50 × 41,998.50
  4. Step 4: Simplify right side
    27,126.50x = 1,763,874,002.25
  5. Step 5: Solve for x
    x = 1,763,874,002.25/27,126.50
  6. Step 6: Final answer
    x = 65,024.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.