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Finding the Third Proportional to 8,160 and 17,841

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Solution

The third proportional to 8,160 and 17,841 is: 39,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 17,841 = 17,841 : x
  2. Step 2: Convert to fraction form
    8,160/17,841 = 17,841/x
  3. Step 3: Cross multiply
    8,160x = 17,841 × 17,841
  4. Step 4: Simplify right side
    8,160x = 318,301,281
  5. Step 5: Solve for x
    x = 318,301,281/8,160
  6. Step 6: Final answer
    x = 39,007.51

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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.