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Finding the Third Proportional to 37,574 and 80,480

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Solution

The third proportional to 37,574 and 80,480 is: 172,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,574 : 80,480 = 80,480 : x
  2. Step 2: Convert to fraction form
    37,574/80,480 = 80,480/x
  3. Step 3: Cross multiply
    37,574x = 80,480 × 80,480
  4. Step 4: Simplify right side
    37,574x = 6,477,030,400
  5. Step 5: Solve for x
    x = 6,477,030,400/37,574
  6. Step 6: Final answer
    x = 172,380.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.