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Finding the Third Proportional to 17,407 and 25,377

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Solution

The third proportional to 17,407 and 25,377 is: 36,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407 : 25,377 = 25,377 : x
  2. Step 2: Convert to fraction form
    17,407/25,377 = 25,377/x
  3. Step 3: Cross multiply
    17,407x = 25,377 × 25,377
  4. Step 4: Simplify right side
    17,407x = 643,992,129
  5. Step 5: Solve for x
    x = 643,992,129/17,407
  6. Step 6: Final answer
    x = 36,996.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.