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Finding the Third Proportional to 27,890.50 and 41,897.50

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Solution

The third proportional to 27,890.50 and 41,897.50 is: 62,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,890.50 : 41,897.50 = 41,897.50 : x
  2. Step 2: Convert to fraction form
    27,890.50/41,897.50 = 41,897.50/x
  3. Step 3: Cross multiply
    27,890.50x = 41,897.50 × 41,897.50
  4. Step 4: Simplify right side
    27,890.50x = 1,755,400,506.25
  5. Step 5: Solve for x
    x = 1,755,400,506.25/27,890.50
  6. Step 6: Final answer
    x = 62,939.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.