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Finding the Third Proportional to 34,846 and 52,347

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Solution

The third proportional to 34,846 and 52,347 is: 78,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846 : 52,347 = 52,347 : x
  2. Step 2: Convert to fraction form
    34,846/52,347 = 52,347/x
  3. Step 3: Cross multiply
    34,846x = 52,347 × 52,347
  4. Step 4: Simplify right side
    34,846x = 2,740,208,409
  5. Step 5: Solve for x
    x = 2,740,208,409/34,846
  6. Step 6: Final answer
    x = 78,637.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.