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Finding the Third Proportional to 34,562.50 and 75,821

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Solution

The third proportional to 34,562.50 and 75,821 is: 166,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,562.50 : 75,821 = 75,821 : x
  2. Step 2: Convert to fraction form
    34,562.50/75,821 = 75,821/x
  3. Step 3: Cross multiply
    34,562.50x = 75,821 × 75,821
  4. Step 4: Simplify right side
    34,562.50x = 5,748,824,041
  5. Step 5: Solve for x
    x = 5,748,824,041/34,562.50
  6. Step 6: Final answer
    x = 166,331.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.