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Finding the Third Proportional to 37,489.50 and 76,483.50

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Solution

The third proportional to 37,489.50 and 76,483.50 is: 156,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.50 : 76,483.50 = 76,483.50 : x
  2. Step 2: Convert to fraction form
    37,489.50/76,483.50 = 76,483.50/x
  3. Step 3: Cross multiply
    37,489.50x = 76,483.50 × 76,483.50
  4. Step 4: Simplify right side
    37,489.50x = 5,849,725,772.25
  5. Step 5: Solve for x
    x = 5,849,725,772.25/37,489.50
  6. Step 6: Final answer
    x = 156,036.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.