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Finding the Third Proportional to 7,584 and 15,546

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Solution

The third proportional to 7,584 and 15,546 is: 31,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 15,546 = 15,546 : x
  2. Step 2: Convert to fraction form
    7,584/15,546 = 15,546/x
  3. Step 3: Cross multiply
    7,584x = 15,546 × 15,546
  4. Step 4: Simplify right side
    7,584x = 241,678,116
  5. Step 5: Solve for x
    x = 241,678,116/7,584
  6. Step 6: Final answer
    x = 31,866.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.