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Finding the Third Proportional to 59,551.50 and 80,829

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Solution

The third proportional to 59,551.50 and 80,829 is: 109,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,551.50 : 80,829 = 80,829 : x
  2. Step 2: Convert to fraction form
    59,551.50/80,829 = 80,829/x
  3. Step 3: Cross multiply
    59,551.50x = 80,829 × 80,829
  4. Step 4: Simplify right side
    59,551.50x = 6,533,327,241
  5. Step 5: Solve for x
    x = 6,533,327,241/59,551.50
  6. Step 6: Final answer
    x = 109,708.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.