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Finding the Third Proportional to 36,829 and 58,409

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Solution

The third proportional to 36,829 and 58,409 is: 92,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829 : 58,409 = 58,409 : x
  2. Step 2: Convert to fraction form
    36,829/58,409 = 58,409/x
  3. Step 3: Cross multiply
    36,829x = 58,409 × 58,409
  4. Step 4: Simplify right side
    36,829x = 3,411,611,281
  5. Step 5: Solve for x
    x = 3,411,611,281/36,829
  6. Step 6: Final answer
    x = 92,633.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.