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Finding the Third Proportional to 17,887 and 38,237

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Solution

The third proportional to 17,887 and 38,237 is: 81,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887 : 38,237 = 38,237 : x
  2. Step 2: Convert to fraction form
    17,887/38,237 = 38,237/x
  3. Step 3: Cross multiply
    17,887x = 38,237 × 38,237
  4. Step 4: Simplify right side
    17,887x = 1,462,068,169
  5. Step 5: Solve for x
    x = 1,462,068,169/17,887
  6. Step 6: Final answer
    x = 81,739.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.