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Finding the Third Proportional to 37,641 and 74,337

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Solution

The third proportional to 37,641 and 74,337 is: 146,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 74,337 = 74,337 : x
  2. Step 2: Convert to fraction form
    37,641/74,337 = 74,337/x
  3. Step 3: Cross multiply
    37,641x = 74,337 × 74,337
  4. Step 4: Simplify right side
    37,641x = 5,525,989,569
  5. Step 5: Solve for x
    x = 5,525,989,569/37,641
  6. Step 6: Final answer
    x = 146,807.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.