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Finding the Third Proportional to 11,464 and 17,088

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Solution

The third proportional to 11,464 and 17,088 is: 25,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 17,088 = 17,088 : x
  2. Step 2: Convert to fraction form
    11,464/17,088 = 17,088/x
  3. Step 3: Cross multiply
    11,464x = 17,088 × 17,088
  4. Step 4: Simplify right side
    11,464x = 291,999,744
  5. Step 5: Solve for x
    x = 291,999,744/11,464
  6. Step 6: Final answer
    x = 25,471.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.