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Finding the Third Proportional to 37,284 and 74,534

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Solution

The third proportional to 37,284 and 74,534 is: 149,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284 : 74,534 = 74,534 : x
  2. Step 2: Convert to fraction form
    37,284/74,534 = 74,534/x
  3. Step 3: Cross multiply
    37,284x = 74,534 × 74,534
  4. Step 4: Simplify right side
    37,284x = 5,555,317,156
  5. Step 5: Solve for x
    x = 5,555,317,156/37,284
  6. Step 6: Final answer
    x = 149,000.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.