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Finding the Third Proportional to 43,125 and 57,951

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Solution

The third proportional to 43,125 and 57,951 is: 77,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125 : 57,951 = 57,951 : x
  2. Step 2: Convert to fraction form
    43,125/57,951 = 57,951/x
  3. Step 3: Cross multiply
    43,125x = 57,951 × 57,951
  4. Step 4: Simplify right side
    43,125x = 3,358,318,401
  5. Step 5: Solve for x
    x = 3,358,318,401/43,125
  6. Step 6: Final answer
    x = 77,874.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.