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Finding the Third Proportional to 34,458 and 45,935

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Solution

The third proportional to 34,458 and 45,935 is: 61,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,458 : 45,935 = 45,935 : x
  2. Step 2: Convert to fraction form
    34,458/45,935 = 45,935/x
  3. Step 3: Cross multiply
    34,458x = 45,935 × 45,935
  4. Step 4: Simplify right side
    34,458x = 2,110,024,225
  5. Step 5: Solve for x
    x = 2,110,024,225/34,458
  6. Step 6: Final answer
    x = 61,234.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.