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Finding the Third Proportional to 34,649 and 74,037

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Solution

The third proportional to 34,649 and 74,037 is: 158,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649 : 74,037 = 74,037 : x
  2. Step 2: Convert to fraction form
    34,649/74,037 = 74,037/x
  3. Step 3: Cross multiply
    34,649x = 74,037 × 74,037
  4. Step 4: Simplify right side
    34,649x = 5,481,477,369
  5. Step 5: Solve for x
    x = 5,481,477,369/34,649
  6. Step 6: Final answer
    x = 158,200.16

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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.