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Finding the Third Proportional to 46,458 and 71,082

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Solution

The third proportional to 46,458 and 71,082 is: 108,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,458 : 71,082 = 71,082 : x
  2. Step 2: Convert to fraction form
    46,458/71,082 = 71,082/x
  3. Step 3: Cross multiply
    46,458x = 71,082 × 71,082
  4. Step 4: Simplify right side
    46,458x = 5,052,650,724
  5. Step 5: Solve for x
    x = 5,052,650,724/46,458
  6. Step 6: Final answer
    x = 108,757.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.