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Finding the Third Proportional to 17,352 and 38,586

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Solution

The third proportional to 17,352 and 38,586 is: 85,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,352 : 38,586 = 38,586 : x
  2. Step 2: Convert to fraction form
    17,352/38,586 = 38,586/x
  3. Step 3: Cross multiply
    17,352x = 38,586 × 38,586
  4. Step 4: Simplify right side
    17,352x = 1,488,879,396
  5. Step 5: Solve for x
    x = 1,488,879,396/17,352
  6. Step 6: Final answer
    x = 85,804.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.