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Finding the Third Proportional to 7,172.49 and 15,536.07

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Solution

The third proportional to 7,172.49 and 15,536.07 is: 33,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.49 : 15,536.07 = 15,536.07 : x
  2. Step 2: Convert to fraction form
    7,172.49/15,536.07 = 15,536.07/x
  3. Step 3: Cross multiply
    7,172.49x = 15,536.07 × 15,536.07
  4. Step 4: Simplify right side
    7,172.49x = 241,369,480.75
  5. Step 5: Solve for x
    x = 241,369,480.75/7,172.49
  6. Step 6: Final answer
    x = 33,652.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.