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Finding the Third Proportional to 17,264 and 26,664

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Solution

The third proportional to 17,264 and 26,664 is: 41,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264 : 26,664 = 26,664 : x
  2. Step 2: Convert to fraction form
    17,264/26,664 = 26,664/x
  3. Step 3: Cross multiply
    17,264x = 26,664 × 26,664
  4. Step 4: Simplify right side
    17,264x = 710,968,896
  5. Step 5: Solve for x
    x = 710,968,896/17,264
  6. Step 6: Final answer
    x = 41,182.16

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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.