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Finding the Third Proportional to 17,409 and 25,368.75

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Solution

The third proportional to 17,409 and 25,368.75 is: 36,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409 : 25,368.75 = 25,368.75 : x
  2. Step 2: Convert to fraction form
    17,409/25,368.75 = 25,368.75/x
  3. Step 3: Cross multiply
    17,409x = 25,368.75 × 25,368.75
  4. Step 4: Simplify right side
    17,409x = 643,573,476.56
  5. Step 5: Solve for x
    x = 643,573,476.56/17,409
  6. Step 6: Final answer
    x = 36,967.86

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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.