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Finding the Third Proportional to 34,782 and 50,715

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Solution

The third proportional to 34,782 and 50,715 is: 73,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782 : 50,715 = 50,715 : x
  2. Step 2: Convert to fraction form
    34,782/50,715 = 50,715/x
  3. Step 3: Cross multiply
    34,782x = 50,715 × 50,715
  4. Step 4: Simplify right side
    34,782x = 2,572,011,225
  5. Step 5: Solve for x
    x = 2,572,011,225/34,782
  6. Step 6: Final answer
    x = 73,946.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.