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Finding the Third Proportional to 35,617 and 76,473

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Solution

The third proportional to 35,617 and 76,473 is: 164,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,617 : 76,473 = 76,473 : x
  2. Step 2: Convert to fraction form
    35,617/76,473 = 76,473/x
  3. Step 3: Cross multiply
    35,617x = 76,473 × 76,473
  4. Step 4: Simplify right side
    35,617x = 5,848,119,729
  5. Step 5: Solve for x
    x = 5,848,119,729/35,617
  6. Step 6: Final answer
    x = 164,194.62

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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.