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Finding the Third Proportional to 7,854 and 17,085

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Solution

The third proportional to 7,854 and 17,085 is: 37,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 17,085 = 17,085 : x
  2. Step 2: Convert to fraction form
    7,854/17,085 = 17,085/x
  3. Step 3: Cross multiply
    7,854x = 17,085 × 17,085
  4. Step 4: Simplify right side
    7,854x = 291,897,225
  5. Step 5: Solve for x
    x = 291,897,225/7,854
  6. Step 6: Final answer
    x = 37,165.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.