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Finding the Third Proportional to 12,175 and 17,409

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Solution

The third proportional to 12,175 and 17,409 is: 24,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175 : 17,409 = 17,409 : x
  2. Step 2: Convert to fraction form
    12,175/17,409 = 17,409/x
  3. Step 3: Cross multiply
    12,175x = 17,409 × 17,409
  4. Step 4: Simplify right side
    12,175x = 303,073,281
  5. Step 5: Solve for x
    x = 303,073,281/12,175
  6. Step 6: Final answer
    x = 24,893.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.