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Finding the Third Proportional to 37,465 and 79,697

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Solution

The third proportional to 37,465 and 79,697 is: 169,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465 : 79,697 = 79,697 : x
  2. Step 2: Convert to fraction form
    37,465/79,697 = 79,697/x
  3. Step 3: Cross multiply
    37,465x = 79,697 × 79,697
  4. Step 4: Simplify right side
    37,465x = 6,351,611,809
  5. Step 5: Solve for x
    x = 6,351,611,809/37,465
  6. Step 6: Final answer
    x = 169,534.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.