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Finding the Third Proportional to 34,618 and 75,472

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Solution

The third proportional to 34,618 and 75,472 is: 164,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618 : 75,472 = 75,472 : x
  2. Step 2: Convert to fraction form
    34,618/75,472 = 75,472/x
  3. Step 3: Cross multiply
    34,618x = 75,472 × 75,472
  4. Step 4: Simplify right side
    34,618x = 5,696,022,784
  5. Step 5: Solve for x
    x = 5,696,022,784/34,618
  6. Step 6: Final answer
    x = 164,539.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.