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Finding the Third Proportional to 37,465 and 80,438

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Solution

The third proportional to 37,465 and 80,438 is: 172,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465 : 80,438 = 80,438 : x
  2. Step 2: Convert to fraction form
    37,465/80,438 = 80,438/x
  3. Step 3: Cross multiply
    37,465x = 80,438 × 80,438
  4. Step 4: Simplify right side
    37,465x = 6,470,271,844
  5. Step 5: Solve for x
    x = 6,470,271,844/37,465
  6. Step 6: Final answer
    x = 172,701.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.