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Finding the Third Proportional to 2,724 and 7,063.50

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Solution

The third proportional to 2,724 and 7,063.50 is: 18,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724 : 7,063.50 = 7,063.50 : x
  2. Step 2: Convert to fraction form
    2,724/7,063.50 = 7,063.50/x
  3. Step 3: Cross multiply
    2,724x = 7,063.50 × 7,063.50
  4. Step 4: Simplify right side
    2,724x = 49,893,032.25
  5. Step 5: Solve for x
    x = 49,893,032.25/2,724
  6. Step 6: Final answer
    x = 18,316.09

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.