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Finding the Third Proportional to 17,412 and 26,053

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Solution

The third proportional to 17,412 and 26,053 is: 38,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 26,053 = 26,053 : x
  2. Step 2: Convert to fraction form
    17,412/26,053 = 26,053/x
  3. Step 3: Cross multiply
    17,412x = 26,053 × 26,053
  4. Step 4: Simplify right side
    17,412x = 678,758,809
  5. Step 5: Solve for x
    x = 678,758,809/17,412
  6. Step 6: Final answer
    x = 38,982.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.