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Finding the Third Proportional to 17,543 and 37,277

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Solution

The third proportional to 17,543 and 37,277 is: 79,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,543 : 37,277 = 37,277 : x
  2. Step 2: Convert to fraction form
    17,543/37,277 = 37,277/x
  3. Step 3: Cross multiply
    17,543x = 37,277 × 37,277
  4. Step 4: Simplify right side
    17,543x = 1,389,574,729
  5. Step 5: Solve for x
    x = 1,389,574,729/17,543
  6. Step 6: Final answer
    x = 79,209.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.