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Finding the Third Proportional to 55,829 and 79,591

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Solution

The third proportional to 55,829 and 79,591 is: 113,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,829 : 79,591 = 79,591 : x
  2. Step 2: Convert to fraction form
    55,829/79,591 = 79,591/x
  3. Step 3: Cross multiply
    55,829x = 79,591 × 79,591
  4. Step 4: Simplify right side
    55,829x = 6,334,727,281
  5. Step 5: Solve for x
    x = 6,334,727,281/55,829
  6. Step 6: Final answer
    x = 113,466.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.