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Finding the Third Proportional to 11,232 and 17,437

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Solution

The third proportional to 11,232 and 17,437 is: 27,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232 : 17,437 = 17,437 : x
  2. Step 2: Convert to fraction form
    11,232/17,437 = 17,437/x
  3. Step 3: Cross multiply
    11,232x = 17,437 × 17,437
  4. Step 4: Simplify right side
    11,232x = 304,048,969
  5. Step 5: Solve for x
    x = 304,048,969/11,232
  6. Step 6: Final answer
    x = 27,069.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.