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Finding the Third Proportional to 34,364 and 51,654

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Solution

The third proportional to 34,364 and 51,654 is: 77,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,364 : 51,654 = 51,654 : x
  2. Step 2: Convert to fraction form
    34,364/51,654 = 51,654/x
  3. Step 3: Cross multiply
    34,364x = 51,654 × 51,654
  4. Step 4: Simplify right side
    34,364x = 2,668,135,716
  5. Step 5: Solve for x
    x = 2,668,135,716/34,364
  6. Step 6: Final answer
    x = 77,643.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.