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Finding the Third Proportional to 7,172.62 and 15,615.48

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Solution

The third proportional to 7,172.62 and 15,615.48 is: 33,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.62 : 15,615.48 = 15,615.48 : x
  2. Step 2: Convert to fraction form
    7,172.62/15,615.48 = 15,615.48/x
  3. Step 3: Cross multiply
    7,172.62x = 15,615.48 × 15,615.48
  4. Step 4: Simplify right side
    7,172.62x = 243,843,184.52
  5. Step 5: Solve for x
    x = 243,843,184.52/7,172.62
  6. Step 6: Final answer
    x = 33,996.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.