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Finding the Third Proportional to 54,577 and 77,035

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Solution

The third proportional to 54,577 and 77,035 is: 108,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,577 : 77,035 = 77,035 : x
  2. Step 2: Convert to fraction form
    54,577/77,035 = 77,035/x
  3. Step 3: Cross multiply
    54,577x = 77,035 × 77,035
  4. Step 4: Simplify right side
    54,577x = 5,934,391,225
  5. Step 5: Solve for x
    x = 5,934,391,225/54,577
  6. Step 6: Final answer
    x = 108,734.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.