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Finding the Third Proportional to 17,509 and 38,421

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Solution

The third proportional to 17,509 and 38,421 is: 84,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509 : 38,421 = 38,421 : x
  2. Step 2: Convert to fraction form
    17,509/38,421 = 38,421/x
  3. Step 3: Cross multiply
    17,509x = 38,421 × 38,421
  4. Step 4: Simplify right side
    17,509x = 1,476,173,241
  5. Step 5: Solve for x
    x = 1,476,173,241/17,509
  6. Step 6: Final answer
    x = 84,309.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.