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Finding the Third Proportional to 7,006.75 and 15,328.75

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Solution

The third proportional to 7,006.75 and 15,328.75 is: 33,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.75 : 15,328.75 = 15,328.75 : x
  2. Step 2: Convert to fraction form
    7,006.75/15,328.75 = 15,328.75/x
  3. Step 3: Cross multiply
    7,006.75x = 15,328.75 × 15,328.75
  4. Step 4: Simplify right side
    7,006.75x = 234,970,576.56
  5. Step 5: Solve for x
    x = 234,970,576.56/7,006.75
  6. Step 6: Final answer
    x = 33,534.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.