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Finding the Third Proportional to 6,533.88 and 9,954.38

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Solution

The third proportional to 6,533.88 and 9,954.38 is: 15,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.88 : 9,954.38 = 9,954.38 : x
  2. Step 2: Convert to fraction form
    6,533.88/9,954.38 = 9,954.38/x
  3. Step 3: Cross multiply
    6,533.88x = 9,954.38 × 9,954.38
  4. Step 4: Simplify right side
    6,533.88x = 99,089,581.64
  5. Step 5: Solve for x
    x = 99,089,581.64/6,533.88
  6. Step 6: Final answer
    x = 15,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.