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Finding the Third Proportional to 28,377 and 40,806

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Solution

The third proportional to 28,377 and 40,806 is: 58,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,377 : 40,806 = 40,806 : x
  2. Step 2: Convert to fraction form
    28,377/40,806 = 40,806/x
  3. Step 3: Cross multiply
    28,377x = 40,806 × 40,806
  4. Step 4: Simplify right side
    28,377x = 1,665,129,636
  5. Step 5: Solve for x
    x = 1,665,129,636/28,377
  6. Step 6: Final answer
    x = 58,678.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.