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Finding the Third Proportional to 37,273.50 and 72,666

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Solution

The third proportional to 37,273.50 and 72,666 is: 141,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,273.50 : 72,666 = 72,666 : x
  2. Step 2: Convert to fraction form
    37,273.50/72,666 = 72,666/x
  3. Step 3: Cross multiply
    37,273.50x = 72,666 × 72,666
  4. Step 4: Simplify right side
    37,273.50x = 5,280,347,556
  5. Step 5: Solve for x
    x = 5,280,347,556/37,273.50
  6. Step 6: Final answer
    x = 141,664.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.