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Finding the Third Proportional to 17,265 and 27,113

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Solution

The third proportional to 17,265 and 27,113 is: 42,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265 : 27,113 = 27,113 : x
  2. Step 2: Convert to fraction form
    17,265/27,113 = 27,113/x
  3. Step 3: Cross multiply
    17,265x = 27,113 × 27,113
  4. Step 4: Simplify right side
    17,265x = 735,114,769
  5. Step 5: Solve for x
    x = 735,114,769/17,265
  6. Step 6: Final answer
    x = 42,578.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.