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Finding the Third Proportional to 7,504 and 15,486

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Solution

The third proportional to 7,504 and 15,486 is: 31,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504 : 15,486 = 15,486 : x
  2. Step 2: Convert to fraction form
    7,504/15,486 = 15,486/x
  3. Step 3: Cross multiply
    7,504x = 15,486 × 15,486
  4. Step 4: Simplify right side
    7,504x = 239,816,196
  5. Step 5: Solve for x
    x = 239,816,196/7,504
  6. Step 6: Final answer
    x = 31,958.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.