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Finding the Third Proportional to 11,413 and 17,535

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Solution

The third proportional to 11,413 and 17,535 is: 26,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413 : 17,535 = 17,535 : x
  2. Step 2: Convert to fraction form
    11,413/17,535 = 17,535/x
  3. Step 3: Cross multiply
    11,413x = 17,535 × 17,535
  4. Step 4: Simplify right side
    11,413x = 307,476,225
  5. Step 5: Solve for x
    x = 307,476,225/11,413
  6. Step 6: Final answer
    x = 26,940.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.