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Finding the Third Proportional to 15,262.25 and 31,694.25

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Solution

The third proportional to 15,262.25 and 31,694.25 is: 65,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.25 : 31,694.25 = 31,694.25 : x
  2. Step 2: Convert to fraction form
    15,262.25/31,694.25 = 31,694.25/x
  3. Step 3: Cross multiply
    15,262.25x = 31,694.25 × 31,694.25
  4. Step 4: Simplify right side
    15,262.25x = 1,004,525,483.06
  5. Step 5: Solve for x
    x = 1,004,525,483.06/15,262.25
  6. Step 6: Final answer
    x = 65,817.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.