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Finding the Third Proportional to 37,237.50 and 82,242

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Solution

The third proportional to 37,237.50 and 82,242 is: 181,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237.50 : 82,242 = 82,242 : x
  2. Step 2: Convert to fraction form
    37,237.50/82,242 = 82,242/x
  3. Step 3: Cross multiply
    37,237.50x = 82,242 × 82,242
  4. Step 4: Simplify right side
    37,237.50x = 6,763,746,564
  5. Step 5: Solve for x
    x = 6,763,746,564/37,237.50
  6. Step 6: Final answer
    x = 181,638.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.