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Finding the Third Proportional to 9,173 and 19,759

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Solution

The third proportional to 9,173 and 19,759 is: 42,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173 : 19,759 = 19,759 : x
  2. Step 2: Convert to fraction form
    9,173/19,759 = 19,759/x
  3. Step 3: Cross multiply
    9,173x = 19,759 × 19,759
  4. Step 4: Simplify right side
    9,173x = 390,418,081
  5. Step 5: Solve for x
    x = 390,418,081/9,173
  6. Step 6: Final answer
    x = 42,561.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.