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Finding the Third Proportional to 34,641 and 74,579

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Solution

The third proportional to 34,641 and 74,579 is: 160,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641 : 74,579 = 74,579 : x
  2. Step 2: Convert to fraction form
    34,641/74,579 = 74,579/x
  3. Step 3: Cross multiply
    34,641x = 74,579 × 74,579
  4. Step 4: Simplify right side
    34,641x = 5,562,027,241
  5. Step 5: Solve for x
    x = 5,562,027,241/34,641
  6. Step 6: Final answer
    x = 160,561.97

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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.