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Finding the Third Proportional to 17,541 and 38,047

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Solution

The third proportional to 17,541 and 38,047 is: 82,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541 : 38,047 = 38,047 : x
  2. Step 2: Convert to fraction form
    17,541/38,047 = 38,047/x
  3. Step 3: Cross multiply
    17,541x = 38,047 × 38,047
  4. Step 4: Simplify right side
    17,541x = 1,447,574,209
  5. Step 5: Solve for x
    x = 1,447,574,209/17,541
  6. Step 6: Final answer
    x = 82,525.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.