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Finding the Third Proportional to 9,110 and 19,533

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Solution

The third proportional to 9,110 and 19,533 is: 41,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110 : 19,533 = 19,533 : x
  2. Step 2: Convert to fraction form
    9,110/19,533 = 19,533/x
  3. Step 3: Cross multiply
    9,110x = 19,533 × 19,533
  4. Step 4: Simplify right side
    9,110x = 381,538,089
  5. Step 5: Solve for x
    x = 381,538,089/9,110
  6. Step 6: Final answer
    x = 41,881.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.