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Finding the Third Proportional to 27,897 and 39,763.50

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Solution

The third proportional to 27,897 and 39,763.50 is: 56,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 39,763.50 = 39,763.50 : x
  2. Step 2: Convert to fraction form
    27,897/39,763.50 = 39,763.50/x
  3. Step 3: Cross multiply
    27,897x = 39,763.50 × 39,763.50
  4. Step 4: Simplify right side
    27,897x = 1,581,135,932.25
  5. Step 5: Solve for x
    x = 1,581,135,932.25/27,897
  6. Step 6: Final answer
    x = 56,677.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.